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Topic: Thompson groups

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	Thompson, Don (Site not responding. Last check: 2007-10-14)
		Thompson returned to Vancouver in 1967 (after working briefly in Montreal with Lee Gagnon that year) and then moved to Toronto in 1969.
		Thompson has been a member of the Boss Brass (bassist 1969-82 and pianist as of 1988) and the bands of Sonny Greenwich (pianist 1970-82 and again as of 1990) and Moe Koffman (bassist 1970-4 and pianist 1975-8).
		Thompson's work as a bassist at the Toronto jazz club Bourbon Street with (among others) the US guitarist Jim Hall and the US alto saxophonist Paul Desmond, documented by live recordings there in 1975 (for which Thompson served as recording engineer), renewed his international profile.
	www.thecanadianencyclopedia.com /index.cfm?PgNm=TCE&Params=U1ARTU0003408 (647 words)

	Thompson groups - Wikipedia, the free encyclopedia
		In mathematics, the Thompson groups (also called Thompson's groups, vagabond groups or chameleon groups) are three groups, commonly denoted F, T and V, which were first studied by the logician Richard Thompson in 1965.
		The Thompson groups, and F in particular, have a collection of unusual properties which have made them counterexamples to many general conjectures in group theory.
		The group F is "just non-abelian" in the sense that it is not abelian, but all its proper homomorphic images are abelian.
	en.wikipedia.org /wiki/Thompson_groups (336 words)

	Thompson Health - Family Health and Wellness (Site not responding. Last check: 2007-10-14)
		Thompson's Family Health and Wellness Services were created with the health and wellness of you and your family in mind.
		Thompson Health was founded in 1904, "for the health of the people of Ontario and surrounding counties".
		Thompson Health continues to be a leader in the area of providing integrated complementary medicine services to the community at the BodyMind Center.
	www.thompsonhealth.com /family.asp (649 words)

	Southpinellas: Offshoot groups splinter image of Adventist church
		Thompson and All Nations' pastor, the Rev. Michael Reid, say they are accustomed to misconceptions about their faith.
		Some readers missed or didn't understand the tiny disclaimer at the bottom of the newspaper advertisement in which the Sweetwater group indicated it is unaffiliated with the mainstream Seventh-day Adventist Church.
		Rather, Thompson said, Christians will remain in their graves until the second coming of Christ, and at that time will be taken to heaven.
	www.sptimes.com /News/042101/SouthPinellas/Offshoot_groups_splin.shtml (1136 words)

	In The News
		She said the groups are reviewing all their options, and that if the lawsuit is the appropriate next step in the process, then that is the direction the groups will take.
		Groups such as Park Savers, however, have stated that the 152 acres are largely wooded and substantially inferior to the park land.
		The groups have expressed concerns that the exchange would undermine the Green Acres program and they have argued that the land being offered by the township is not of the same quality as the park parcel.
	mywebpages.comcast.net /Save_Thompson_Park/in_the_news.htm (16916 words)

	[No title]
		Thompson, J. Fricke, free groups and ${\rm SL}\sb 2$.
		Thompson, J. A finiteness theorem for subgroups of ${\rm PSL}(2,\, R)$ which are commensurable with ${\rm PSL}(2,\, Z)$.
		Thompson, John G. Nonsolvable finite groups all of whose local subgroups are solvable.
	www.math.ufl.edu /fac/facmr/Thompson.html (902 words)

	Sean Cleary's Mathematics Research Interests
		Thompson's group F is not almost convex, (with Jennifer Taback) (Journal of Algebra, Vol 270, #1, December 2003, pp.
		Parafree groups are groups which are residually nilpotent and have quotients with the terms in their lower central series which are isomorphic to the corresponding quotients for a free group.
		Thompson's groups: pathologies abound, Heriot Watt University and University of Edinburgh, Edinburgh, Scotland, Spring 2005.
	www.sci.ccny.cuny.edu /~cleary/research.html (3236 words)

	Algebra Seminar
		Thompson's work was published but not well publicized or disseminated During the 1970's several topologists rediscovered these groups independently, knowing nothing of Thompson's work.
		In the 80's the groups were proved to have homological, homotopical and group theoretic properties which had not previously been seen.
		Abstract: Many arguments in Group Theory and Ring/Module Theory are, on close inspection, Lattice theoretic arguments in disguise, dealing with the lattice of subgroups, lattice of normal subgroups, lattice of ideals, lattice of submodules.
	www.math.binghamton.edu /dept/AlgebraSem/s04.html (1065 words)

	Thompson Island (Site not responding. Last check: 2007-10-14)
		Thompson Island Outward Bound's School and Community Youth Group courses are designed to use adventure and challenge to help students transform themselves into better individuals, team members and leaders.
		Thompson Island is located in the Boston Harbor Islands National Park Area and is owned and operated by Thompson Island Outward Bound Education Center.
		Thompson Island Education Center is committed to "relentlessly pursue incident free programs." We believe safety starts with employees who think critically about every activity, who weigh risks and hazards against the preparedness of their participants and their own capabilities, who expect the unexpected, and who act with prudence and humility.
	www.thompsonisland.org /english/youth/customized (482 words)

	Complexity, Cryptography, and Combinatorial Group Theory
		Combinatorial group theory is the study of (usually infinite) groups presented by generators and relations.
		When a group is given by a finite set of generators, every group element is represented by words over an alphabet (the alphabet being the generators and their inverses).
		There may be interesting connections with cryptography: The Thompson groups are defined as transformations of bit-strings, and every finite permutation of bit-strings (of any length) is in the Thompson groups; it might be possible to use the Thompson groups to construct one-way functions.
	cis.poly.edu /seminars/fall00/abstract8fall00.htm (310 words)

	John G. Thompson - Wikipedia, the free encyclopedia
		John Griggs Thompson (born 13 Oct 1932 in Ottawa, Kansas (USA)) is a mathematician noted for his work in the field of finite groups.
		Thompson was a key figure in the progress toward the classification of finite simple groups.
		He found a criterion for a finite group to be a Galois group, that in particular implies that the monster simple group is a Galois group.
	en.wikipedia.org /wiki/John_G._Thompson (351 words)

	Search Results for simple
		To classify finite groups therefore reduces to two problems, namely the classification of finite simple groups and the solution of the extension problem, that is the problem of how to fit the building blocks together.
		A finite sporadic simple group is a finite simple group which is not a member of one of the standard infinite families.
		In On non-strictly simple groups published in 1963 Hall established the existence of simple groups which were the infinite union of a chain of subgroups, each normal in the next.
	www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=simple&CONTEXT=1 (13769 words)

	Atelier autour des groupes de R. Thompson.
		Starting from the observation that Thompson's groups F and V are the geometry groups respectively of associativity, and of associativity together with commutativity, we deduce new presentations of these groups.
		We prove that these new groups are the geometry groups of associativity together with the law x(yz) = y(xz), and of associativity together with a twisted version of this law involving self-distributivity, respectively.
		Extensions of the Thompson group by the infinite braid group.
	www.math.unicaen.fr /~godelle/resume_expose.html (971 words)

	EEB Faculty - John Thompson (Site not responding. Last check: 2007-10-14)
		Thompson, J. N., and Fernandez, C. Temporal dynamics of antagonism and mutualism in a coevolving plant-insect interaction.
		Thompson, J.N., Nuismer, S.L. and Merg, K. Plant polyploidy and the evolutionary ecology and plant/animal interactions.
		Thompson, J.N., Nuismer, S.L., and Gomulkiewicz, R. Coevolution and maladaptation.
	www.biology.ucsc.edu /faculty/thompson.html (385 words)

	JS Online: On path of power, Thompson learns from his missteps
		Thompson's comments on both issues got the attention of the Bush White House, which has put a premium on the need for its troops to stay on message.
		Thompson, who was supportive of stem-cell research at the University of Wisconsin-Madison, hasn't made his recommendation yet.
		Thompson said he had no complaints about the tough dictates of the White House budget office, which imposed overall cuts on some federal departments.
	www.jsonline.com /news/nat/mar01/tommy04030301.asp (1002 words)

	TEAMS DON'T ALWAYS WORK (Site not responding. Last check: 2007-10-14)
		Singling out the strengths of teams was not the point of the session, Thompson said; rather, acknowledging their weaknesses can be a key to making them work.
		Self-directed teams, in which workers come up with goals and plans on their own, are popular in theory but often don't work, she said.
		Although teams have the potential to do more than individuals, groups often are hamstrung by slackers who pull less weight than when their work is under scrutiny alone, Thompson notes in her book, "The Mind and Heart of the Negotiator" (Prentice Hall, $50).
	www.leighthompson.com /media/tribune_teams.htm (686 words)

	dunfield.htm (Site not responding. Last check: 2007-10-14)
		These groups have reappeared in a wide variety of settings, including homotopy theory, measure theory of discrete groups, non-associative algebras, dynamical systems and geometric group theory.
		Thompson's group F is the simplest known example of a variety of perplexing group-theoretic phenomena and has been the subject of a great deal of study.
		I will describe these groups from several different perspectives and discuss some of their remarkable bizarre properties, including the unusual geometry of the Cayley graph of Thompson's group F.
	www-rcf.usc.edu /~tkalman/abstracts/cleary.html (110 words)

	Jennifer Taback
		Geometric quasi-isometric embeddings into Thompson's group F (joint with Sean Cleary), New York Journal of Mathematics, 9 (2003), pp.
		Combinatorial properties of Thompson's group F (joint with Sean Cleary), Trans.
		Thompson's group F is not almost convex (joint with Sean Cleary), J.
	www.bowdoin.edu /~jtaback (280 words)

	BACKGROUND
		Note that the growth rate of the free metabelian group of rank 2 should be strictly less than 3 (which is the growth rate of the free group of rank 2) since a free metabelian group is not free.
		In this case, one may encounter a situation where neither finitely presented groups in the given class nor finitely presented groups outside of the the given class are recursively enumerable.
		The automorphism group of a free metabelian group of finite rank is known to be finitely generated unless the rank equals 3 -- see [S.Bachmuth, H.Mochizuki, Aut(F) \to Aut(F/F") is surjective for free group F of rank \geq 4, Trans.
	www.sci.ccny.cuny.edu /~shpil/gworld/problems/Back2.html (4848 words)

	Colloquia and Seminars - UNL - Department of Mathematics (Site not responding. Last check: 2007-10-14)
		It has been known since the 1950s that the word problem of certain finitely presented groups is undecidable.
		It is known that the complexity is an algebraic property for finitely generated groups (i.e., changing to another finite generating set changes the complexity only linearly).
		This is based on a representation of groups by partial transformations (Richard Thompson groups), and has connections with reversible computing, and with the Boone-Higman theorem.
	www.math.unl.edu /pi/colloquia/abstract-20030828.txt (229 words)

	Engaging With Literature: A Video Library, Grades 3-5
		Thompson chooses high-interest literature that may be beyond the independent reading level of many of his students.
		Thompson calls Critical Reader Thoughts, expand the range of possibilities students have available for individual response.
		Thompson makes assignments, considering the number of students in each group while trying to give as many as possible their first or second choice.
	www.learner.org /channel/libraries/engagingliterature/responding/lessonplan.html (464 words)

	Thompson campaign starts county organization with a bang (Site not responding. Last check: 2007-10-14)
		Ed Thompson, City of Tomah mayor and Libertarian candidate for governor, has announced the Dane County Chairman of the Friends for Ed Thompson campaign is Rolf Lindgren.
		Thompson is eager to have Hepp on board.
		Thompson said, “Steve is just like me, a small-business man who has known work his entire life.
	chelm.freeyellow.com /thompson8.html (478 words)

	David Thompson Health Region
		David Thompson Health Region cannot and does not either guarantee or warrant that files available for downloading through the web site will be free of infection or viruses, worms, Trojan horses or codes that manifest contaminating or destructive properties.
		If you use a Discussion Group, you are solely responsible for your own communications, the consequences of posting those communications, and your reliance on any communications made in the Discussion Groups.
		David Thompson Health Region does not provide any warranty about the accuracy or source of information found on any of these web sites or servers or the content of any file the user might choose to download from a third-party website.
	www.dthr.ab.ca /contact/legal.htm (626 words)

	NEW ONLINE E-GROUP TAKES ON LITERARY WORLD BY STORM - Dorothy Thompson (Site not responding. Last check: 2007-10-14)
		TWL Author Talks is the brainchild of author and editor Dorothy Thompson of the Eastern Shore of Virginia and looks to be one of the most successful e-groups for writers of any genre.
		Dorothy Thompson is no stranger to the world of writing, as well as writing e-groups.
		Thompson is also the compiler/editor/contributing author of the book, "Romancing the Soul—True Stories of Soul Mates from Around the World and Beyond’ (Zumaya Publications, 2004) and is a syndicated relationship columnist.
	www.prleap.com /printer/3411 (381 words)

	Jennifer Taback (Bowdoin) (Site not responding. Last check: 2007-10-14)
		Combinatorial and metric properties of Thompson's group T (joint with Jose Burillo, Sean Cleary and Melanie Stein, to appear in Trans.
		Cone types and geodesic languages for lamplighter groups and Thompson's group F (joint with Sean Cleary and Murray Elder), to appear in J.
		Seesaw words in Thompson's group F (joint with Sean Cleary), in Jose Burillo, Sean Cleary, Murray Elder, Jennifer Taback and Enric Ventura, editors, Geometric Methods in Group Theory, American Mathematical Society, 2005.
	academic.bowdoin.edu /faculty/J/jtaback (326 words)

	Citebase - Cone types and geodesic languages for lamplighter groups and Thompson's group F (Site not responding. Last check: 2007-10-14)
		Cone types and geodesic languages for lamplighter groups and Thompson's group F
		We show that the full language of geodesics with respect to one generating set for the lamplighter group is not counter but is context-free, while with respect to another generating set the full language of geodesics is counter and context-free.
		In Thompson's group F with respect to the standard finite generating set, we show there are infinitely many cone types and no regular language of geodesics with respect to the standard finite generating set.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0410616 (237 words)

	Cornell Math - Math 739 (SP02)
		These groups are important in the sense that if someone presents a new technique it is considered interesting if it adds to our knowledge about one of these groups: these are groups about which mathematicians want to know everything.
		A more or less unifying theme in this class will be the idea that you can study a group by means of a nice action of the group (e.g., an action with small stabilisers) on a nice space (e.g., a highly connected CW-complex).
		Basically you should know groups and actions, fundamental groups of spaces and covering spaces; the concepts of homology and homotopy should ring a bell.
	www.math.cornell.edu /Courses/GradCourses/SP02/739.html (157 words)

	Services
		Design innovations and functionality are hallmarks of all Thompson-Phelan Group and Barber-McCalpin Associates projects.
		Thompson Phelan Group team members, involved in various design and build disciplines, bring expertise and knowledge to each project, producing the customer satisfaction and service expected from such an experienced firm.
		From conception of your vision, through completion of your project, your Thompson-Phelan Group consultant is dedicated to guiding you through the process.
	www.thompsonphelan.com /services.php (479 words)

	Country Inns & Suites By Carlson
		The Thompson Hotel is the perfect place for next meeting or event.
		Guests at the Thompson Hotel start the day out right with a free breakfast featuring muffins, bagels, hot and cold cereals, fresh fruit, juices, coffee, tea and cocoa.
		The Thompson Hotel, is located within walking distance of many stores and restaurants.
	www.countryinns.com /thompsonmb (300 words)

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