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Topic: Zassenhaus group

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	Zassenhaus (Site not responding. Last check: 2007-10-13)
		Zassenhaus (biography) proved a rather technical relationship among subgroups, which acts primarily as a lemma for the next theorem.
		This is the kernel of the destination factor group.
		With s normal in h, a group homomorphism maps h onto the cosets of s, which are faithfully represented by the cosets of s∩b in a∩b.
	www.mathreference.com /grp-chain,zassen.html (531 words)

	Publication List
		Groups which are normal in the unit groups of their group rings.
		Large groups of units of integral group rings of finite nilpotent groups.
		Group identities on units of group algebras, Group Algebras 226 (2000): 488-504.
	www.math.ualberta.ca /people/Faculty/Sehgal/Sehgal_publications.html (780 words)

	Zassenhaus, Hans Julius (Site not responding. Last check: 2007-10-13)
		Zassenhaus groups form part of the basis for the contemporary development of finite group theory.
		Zassenhaus was born in Koblenz and studied at Hamburg.
		Group theory is the study of systems in which the product of any two members of a system results in another member of the same system (for example, even numbers).
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/Z/Zassenhaus/1.html (122 words)

	PUBLICATIONS
		The Nilpotency of the Group of Units of a Group Ring, Atas da III Escola de Álgebra, SBM, Rio de Janeiro, 1974, pp.151 - 162.
		The Nilpotency of the Group of Units of a Group Ring, Atas da III Escola de Álgebra, Soc.
		Automorphisms of Group Algebras of Dihedral Groups, Boll.
	www.ime.usp.br /~polcino/vita/node6.html (1632 words)

	Zassenhaus biography
		Zassenhaus studied for his doctorate under Artin's supervision.
		From 1934 to 1936 Zassenhaus worked at the University of Rostock and wrote his famous group theory text Lehrbuch der Gruppentheorie (1937) based on Artin's lectures at Hamburg.
		Zassenhaus worked on a broad range of topics and, in addition to those mentioned above, he worked on nearfields, the theory of orders,
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Zassenhaus.html (478 words)

	PUBLICAÇÕES
		On a Conjecture of Zassenhaus, Atas da VII Escola de Álgebra, SBM, Rio de Janeiro, 1980.
		Conjugacy classes of the group of units in group algebras of finite p-groups, An.
		Group identities on unit groups of group algebras, in Proc.
	www.ime.usp.br /~polcino/vitap/node7.html (1741 words)

	Zassenhaus (Site not responding. Last check: 2007-10-13)
		Zassenhaus found that a normal academic career was made impossible for him because of his intense dislike of the Nazi party.
		He worked on weather forecasting during World War II but, when offered the chair of mathematics at Bonn in 1943 he asked that he could postpone a decision until the end of the war.
		, an integral basis, the unit group and the class group.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Zassenhaus.htm (422 words)

	Auburn Montgomeryâ”AUM: (Site not responding. Last check: 2007-10-13)
		Locally (soluble-by-finite) groups with various restrictions on subgroups of infinite rank
		Finite, Solvable Groups in which the Lattice of $\Sigma $-Permutable Subgroups is Modular
		Groups whose subnormal subgroups of defect two permute with all Sylow subgroups
	www.aum.edu /Academics/Schools/Sciences/Departments_and_Undergraduate_Programs/Mathematics_and_Pre-Engineering/Zassenhaus/index.aspx?id=4457 (153 words)

	Conference and Session Organization
		2005 Zassenhaus Group Theory Conference, March 18-20, 2005, Auburn University Montgomery, Montgomery, Alabama (with Pante Stanica).
		2003 Zassenhaus Group Theory Conference, March 14-16, 2003, University of Evansville, Evansville, IN.
		2005 Zassenhaus Group Theory Conference, March 18-20, 2005, Auburn University Montgomery, Montgomery, Alabama.
	sciences.aum.edu /~tfoguel/conference.html (335 words)

	AUM-Auburn University Montgomery: (Site not responding. Last check: 2007-10-13)
		The Department of Mathematics with financial support from the AUM lectures program is pleased to be hosting the 2005 Zassenhaus Group Theory Conference on March 18-20, 2005.
		This conference represents a continuation of the series of Ohio State-Denison Mathematics Conferences first organized in 1960's by Hans Zassenhaus, which are held in alternate years in Ohio, with the group-theorists meeting in the intervening years at various universities throughout the country.
		Groups 99 The Zassenhaus Group Theory Conference, May 21-22, 1999, SUNY at Binghamton, Binghamton, NY.
	www.aum.edu /zassenhaus (684 words)

	Unit Groups
		The unit group consists of the torsion subgroup, generated by the image m(U.1) and a free part, generated in O by the images m(U.i) for 2 <= i <= r_1 + r_2.
		True iff the rank of the currently known unit group of O or K increases when a is merged into it.
		This function returns the group of s-units of the set of prime ideals given as either a sequence S or their product I, and the map from the group into the order the ideals lie in.
	www.math.wisc.edu /help/magma/text450.html (666 words)

	Amazon.com: A Course on Group Theory (Dover Books on Advanced Mathematics): Books: John S. Rose (Site not responding. Last check: 2007-10-13)
		The principal focus of this high-level study, directed to advanced undergraduate and graduate students, is on finite groups, with an emphasis on the idea of group actions.
		Chapters are divided between coverage of the normal and the arithmetical structure of groups.
		Imagine my consternation when I read the preface in which it was clearly stated that the book specifically covers FINITE group theory and presupposes that the reader has had prior, elementary course in group theory.
	www.amazon.com /Course-Group-Theory-Advanced-Mathematics/dp/0486681947 (985 words)

	Publications
		An n-covering of a group G by subgroups (cosets) is a collection of subgroups (cosets) such that every n-tuple of elements of G is contained in a member of the collection.
		We also generalize a result of Baer (a group G has a finite covering by abelian subgroups if and only if G is central-by-finite) by establishing a theorem concerning conditions equivalent to the c-th center of G having finite index in G.
		Neumann's characterization of groups possessing a finite covering by proper subgroups and Baer's characterization of groups with finite coverings by abelian subgroups are refined to results about finite coverings by normal subgroups.
	employees.csbsju.edu /mbrodie/publications.htm (491 words)

	Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 43, No. 2, pp. 513-520, 2002 (Site not responding. Last check: 2007-10-13)
		Abstract: A metabelian group $G$ of order 1440 is constructed which provides a counterexample to a conjecture of Zassenhaus on automorphisms of integral group rings.
		The group is constructed in the spirit of [8].
		An augmented automorphism of ${\hbox{$\Bbb Z$}G$ which has no Zassenhaus factorization is given explicitly (this was already done in [7] for a group of order $6720$), but this time only a few distinguished group ring elements are used for its construction, carefully exploiting certain congruence relations satisfied by powers of these elements.
	www.emis.de /journals/BAG/vol.43/no.2/16.html (165 words)

	Advanced Algebra
		Text: Concerning group theory we shall use D. Robinson, A Course in the Theory of Groups and depending on the pace of the course we might cover also parts of M. Isaacs, Character Theory of Finite Groups.
		In particular, you should be familiar with the following concepts and theorems in group theory: group, subgroup, order of an element, cyclic group, Lagrange's theorem, homomorphism, normal subgroup, factor group, homomorphism and isomorphism theorems, symmetric and alternating groups, direct product.
		If all proper subgroups of a finite group G are Abelian, then G is solvable.
	www.stolaf.edu /depts/math/budapest/WebPages/course_AAL.html (279 words)

	Coffee Brewer Cleaning Supplies, Urnex, Brushes, Etc.
		It is a specially formulated powder detergent for the heavy residues that accumulate in the espresso machine group head, water lines and valves.
		You have a special need for brushes to clean the group head of the espresso machine where the coffee handle attaches to the machine.
		This needs to be used sparingly, but is a must for the channel that the coffee handle fits into in the head, and should be used on portafilters occasionally.
	www.sweetmarias.com /prod.coffeecleaner.shtml (1624 words)

	Springer Online Reference Works
		There is a characterization of finite Frobenius groups in terms of group characters only.
		Frobenius groups can be defined for infinite groups as well.
		Those groups are the non-regular transitive permutation groups in which only the identity has more than one fixed point.
	eom.springer.de /F/f120190.htm (449 words)

	Untitled Document
		In the study of group rings the knowledge of the unit group is crucial, but a complete description of the unit group in terms of generators and relations still seems out of reach, even for special classes of groups.
		Indeed, the trivial units are the torsion subgroup of the unit group of the integral group ring.
		Concerning the second centre and hypercentre of the unit group of the integral group ring of a periodic group G, we have that the results of Jespers and Juriaans, and Li and Parmenter [49,67] imply that these groups equal the finite conjugacy centre of the unit group.
	student.vub.ac.be /~andooms/research.htm (4659 words)

	Zassenhaus 2001 Group Theory Conference
		New College of USF is hosting the Zassenhaus Group Theory Conference on January 4-7, 2001 in Sarasota Florida.The Group Theory Conference at New College will continue the series of meetings that originated in the 1960's at Ohio State/Denison University by Hans Zassenhaus.
		New College was the host of the 1997 Zassenhaus Group Theory Conference.
		"A d-primitive group is introduced that is dual to the concept of a primitive finite group".
	www.ncf.edu /poimenidou/Zass2001GTC.html (793 words)

	Topics: Group Theory
		Subgroups: Only if N is a normal subgroup is G/N a group; The order of a subgroup must be a divisor of the order of the group (think about cosets).
		Extension of a group A by a group C: A new group B
		Hist: Symmetry in physics was introduced with special relativity and the Lorentz group; Noether's theorem; 1932, Heisenberg joins p and n into an SU(2) doublet and postulates an SU(2)-invariant Lagrangian; In 1954, local symmetries were introduced with YM theory.
	www.phy.olemiss.edu /~luca/Topics/g/group.html (572 words)

	[No title]
		Representation Theory of Real Reductive Lie Groups, celebrating the birthdays of Bill Casselman and Dragan Milicic, June 4 to June 8, 2006, Snowbird Mountain Resort, Utah, U.S.A. Geometry and Representation Theory: A Conference in honor of George Lusztig, May 30-June 3 2006 MIT Department of Mathematics, Cambridge MA, U.S.A. Groups in Galway 2006 May 19--20.
		Groups and Representations: Conference dedicated to the 60th birthday of Gary Seitz, March 24-27, 2004, University of Oregon, Eugene, Oregon.
		Conference on representation theory for algebraic groups, University of Aarhus, Aarhus Denmark.
	www.maths.may.ie /staff/jmurray/conferences.html (1651 words)

	Sabbatical Report R. F. Morse (Site not responding. Last check: 2007-10-13)
		Zassenhaus Group Theory Conference 05, Auburn University Montgomery.
		“Advances in computing the nonabelian tensor square of polycyclic groups”, Groups in Galway, National University of Ireland Galway, May 12-14, 2005 [pdf slides].
		CoOrganizer of the Special Session on “Group Theory” (with R. Rosenberger and L.-C. Kappe) at the The 2nd Joint meeting of the American Mathematical Society (AMS), Deutsche Mathematiker-Vereinigung (DMV) and Österreichische Mathematische Gesellschaft (ÖMG), Johannes Gutenberg-Universität Mainz, Mainz, Germany, June 16-19, 2005.
	faculty.evansville.edu /rm43/sabbaticlreport05.html (219 words)

	SLU MMI -- H. Peter Zassenhaus
		Mitochondrial DNA mutations activate the mitochondrial apoptotic pathway and cause dilated cardiomyopathy.
		Oxidative stress is not an obligate mediator of disease provoked by mitochondrial DNA mutations.
		The DExH box protein Suv3p is a component of a yeast mitochondrial 3'-to-5' exoribonuclease that suppresses group I intron toxicity.
	www.slu.edu /colleges/med/mmi/faculty/zassenhaus_pubs.html (330 words)

	MATHDEPT
		This centrality is due to the fact that a free group is the most basic construction of infinite group theory and also that free groups serve as primary motivating examples for both properties and proofs in all the other areas mentioned.
		We study the group theoretic properties of the collection G of all "words" in the basic moves of the square 1 puzzle which preserve the cube shape.
		A group G is commutative transitive provided the relation of commutativity is transitive on the non-identity elements of G. A subgroup T(G) is constructed and the main theorem asserts that (1) T(G) is a characteristic subgroup of G contained in the commutator subgroup of G.
	www.nadn.navy.mil /AcResearch/sumres97/MATHDEPT.htm (11067 words)

	CJM - Units in group rings of free products of prime cyclic groups
		Let $G$ be a free product of cyclic groups of prime order.
		The structure of the unit group ${\cal U}(\Q G)$ of the rational group ring $\Q G$ is given in terms of free products and amalgamated free products of groups.
		As an application, all finite subgroups of ${\cal U}(\Q G)$, up to conjugacy, are described and the Zassenhaus Conjecture for finite subgroups in $\Z G$ is proved.
	journals.cms.math.ca /cgi-bin/vault/view/dokuchaev0651?size=1.5 (138 words)

	Groups 99: Speakers (Site not responding. Last check: 2007-10-13)
		Hauck : "Bounding the derived length of a finite solvable group"
		Holmes : "A complete characterization of the group of autoprojectivities of an abelian p-group of finite exponent"
		Johnson : "Some relations between the Burnside ring and the character ring of a group"
	www.math.binghamton.edu /MATH/groups99/speakers.html (180 words)

	References for Zassenhaus (Site not responding. Last check: 2007-10-13)
		J André, In memoriam Hans Zassenhaus, Results in Mathematics 21 (1992), 223-224.
		W Plesken, Hans Zassenhaus 1912-1991, Jahresberichte der Deutschen Mathematiker-Vereinigung 96 (1994), 1-20.
		R Solomon, Hans Zassenhaus 1912-1991, Group theory (River Edge, NJ, 1993), 4-5.
	www-groups.dcs.st-and.ac.uk /history/References/Zassenhaus.html (57 words)

	Groups 99
		This year, the Annual Regional Group Theory Conference is to be held at Binghamton University on Friday, May 21 and Saturday, May 22.
		As you may know, this conference represents a continuation of the series of Ohio State-Denison Mathematics Conferences which are held in alternate years in Granville, Ohio, with the group-theorists meeting in the intervening years at various universities throughout the region.
		You will receive the special rate by mentioning the ``Groups 99 Zassenhaus Conference.'' Each will give the rate of $47.95 single or $53.95 double.
	www.math.binghamton.edu /MATH/groups99/index.html (605 words)

	Zassenhaus and Zimmer (1996) Group theory, algebra, and number theory: Colloquium in memory of Hans Zassenhaus, held in ... (Site not responding. Last check: 2007-10-13)
		Zassenhaus and Zimmer (1996) Group theory, algebra, and number theory: Colloquium in memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993
		Group theory, algebra, and number theory: Colloquium in memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993
		To view the the latter's ratings, click on Chapters/Papers/Articles in the STATISTICS box, select a publication from the list that appears, and then click on either Quality or Interest in that publication's STATISTICS box.
	www.getcited.org /?PUB=100146494&showStat=Ratings (117 words)

	Math Times, Spring 2005
		Professor Griffith's main research interests were focused on extensions of abelian groups early in his career, and for most of the last thirty years his research interests have been centered around the study of homological methods in commutative algebra.
		Stephanie is an active member of the number theory group at UIUC, and she has given a number of conference and seminar talks on her work.
		In particular, he studies group algebras and quadratic forms over the field with two elements and their applications to coding theory.
	www.math.uiuc.edu /mathtimes/Spring2005/mathtimes_spring05.htm (6841 words)

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