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Topic: Conway group


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In the News (Mon 28 Dec 09)

  
  Conway group - Wikipedia, the free encyclopedia
In mathematics, the Conway groups Co, Co, and Co are three sporadic groups discovered by John Horton Conway.
is obtained by dividing the automorphism group of Λ by its center, which consists of the scalar matrices ±1.
The groups Co (of order 42,305,421,312,000) and Co (of order 495,766,656,000) consist of the automorphisms of Λ fixing a lattice vector of length 2 and a vector of √6 respectively.
en.wikipedia.org /wiki/Conway_group   (272 words)

  
 List of finite simple groups - Wikipedia, the free encyclopedia
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type), or one of 26 sporadic groups.
Remarks: The Tits group is strictly speaking not a group of Lie type, and in particular it is not the group of points of a connected simple algebraic group with values in some field, nor does it have a BN pair.
The monster is the automorphism group of the 196884 dimensional Griess algebra and the infinite dimensional monster vertex operator algebra, and acts naturally on the monster Lie algebra.
en.wikipedia.org /wiki/List_of_finite_simple_groups   (2178 words)

  
 Encyclopedia: Conway group   (Site not responding. Last check: 2007-11-03)
The groups Co and Co both contain the McLaughlin group McL (of order 898,128,000) and the Higman-Sims group (of order 44,352,000), which can be described as the pointwise stabilizers of a In mathematics, the Higman-Sims group is a finite sporadic simple group of order 44352000.
Conway recounts the successive phases of her early life: her childhood on a remote sheep station, her teenage years in suburban Sydney, her education at the University of Sydney, and her decision to become a historian and to leave Australia for the United States.
Conway's search for her own identity, as a woman and as an Australian, is a complex story written in a deceptively simple narrative style.
www.nationmaster.com /encyclopedia/Conway-group   (720 words)

  
 Conway   (Site not responding. Last check: 2007-11-03)
A finite sporadic simple group is a finite simple group which is not a member of one of the standard infinite families.
The name surreal numbers was not invented by Conway, however, but by Donald Knuth who was so impressed with Conway's discovery that he wrote Surreal Numbers (1974) in the form of a novelette aimed at introducing the ideas of mathematical research to students.
In 1986 Conway left Cambridge after accepting appointment to the John von Neumann Chair of Mathematics at Princeton in the United States where much of his work has focused on geometry, in particular studying the symmetries of crystal lattices.
www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Conway.html   (1911 words)

  
 Four arrested in connection with bank heists   (Site not responding. Last check: 2007-11-03)
Conway said various members of the group are believed to have been involved in the robberies of nine banks, an armored car and a credit union since August 1994.
Conway said the FBI investigation is continuing in an effort to sort out which gang members took part in which robberies.
Conway said the "cool shades"robberies, and the activities of another bank robber known as "Polo Shirt," are the main reasons for a 50 percent increase -- from 30 to 45 --in the number of Houston bank robberies during the past year.
www.chron.com /content/chronicle/aol-metropolitan/96/04/06/cool.html   (402 words)

  
 H2G2   (Site not responding. Last check: 2007-11-03)
Conway was born in Liverpool in 1937 [26 December, 1937.
Conway's first major published work was in 1968: a study of the symmetry group G of the Leech lattice, a 24-dimensional close packing of spheres.
Conway's work was new and unusual, so he was immediately recognised as an important name in the mathematical world.
www.bbc.co.uk /dna/h2g2/pda/A2982468?s_id=2   (190 words)

  
 William E. Conway, Jr. - dKosopedia
Conway was a Vice President and Treasurer of MCI Communications Corporation from 1981 to 1984.
Conway served in a variety of positions for almost ten years with The First National Bank of Chicago in the areas of corporate finance, commercial lending, workout loans and general management.
Conway has served as Chairman of Nextel's board of directors since February 2001 and has been one of their directors since February 1997.
www.dkosopedia.com /index.php/William_E._Conway,_Jr.   (247 words)

  
 Sporadic Groups - Cambridge University Press
Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups.
Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author’s text Finite Group Theory.
This is followed by the standard construction of Conway of the Leech lattice and the Conway group.
www.cup.cam.ac.uk /catalogue/catalogue.asp?ISBN=0521420490   (378 words)

  
 The Carlyle Group : Bio : William E. Conway, Jr.
Conway was a Vice President and Treasurer of MCI from 1981 to 1984.
Conway arranged several billion dollars of debt and equity financing, both in the public and private financial markets, and negotiated MCI's most significant acquisitions and divestitures.
Conway is Co-Lead Independent Director of the Board of Directors of Sprint Nextel Corporation, and former Chairman of the Board of United Defense Industries and Nextel Communications.
thecarlylegroup.com /eng/team/l5-team408.html   (245 words)

  
 Conway group   (Site not responding. Last check: 2007-11-03)
The largest,Co (of order 8,315,553,613,086,720,000), is obtained by dividing the automorphism group of Λ by its center, which consists of the scalar matrices ±1.
The groups Co (of order 42,305,421,312,000)and Co (of order 495,766,656,000) consist of the automorphisms of Λ fixing a lattice vector of length 2 and avector of √6 respectively.
The groups Co and Co both contain the McLaughlin group McL (of order 898,128,000) andthe Higman-Sims group (of order 44,352,000), which can be described as the pointwise stabilizers of a2-2-√6 triangle and a 2-√6-√6 triangle respectively.
www.therfcc.org /conway-group-282319.html   (232 words)

  
 Charles Seife: Impressions of Conway   (Site not responding. Last check: 2007-11-03)
Conway, what we have here is a poor Ph.D. thesis." Though the comment annoyed Conway at first, he realized that it meant that he was free to do whatever he liked.
A group is a set (like the integers) associated with an operation (like addition), which follows certain very restrictive rules.
Finding a new group was so rare and important that Conway was made a Fellow of the Royal Society for his discovery.
www.users.cloud9.net /~cgseife/conway.html   (4062 words)

  
 Publications of R. A. Wilson
The geometry of the Hall-Janko group as a quaternionic reflection group, Geom.
Vector stabilizers and subgroups of Leech lattice groups, J. Algebra 127 (1989), 387-408.
The symmetric genus of the Fischer group $Fi_23$, Topology 36 (1996), 379-380.
web.mat.bham.ac.uk /R.A.Wilson/pubs/publications.html   (1174 words)

  
 The News-Herald - News - 02/18/2005 - Don't like your leaders? These area residents have an idea...   (Site not responding. Last check: 2007-11-03)
Conway said his group is trying to recall all of council so voters can decide who should stay and who should go.
Conway said as of last week, the group has gathered about half of the 34,000 signatures it hopes to file by Feb. 22 to recall Cervenik and the members of council in the May primary election.
Conway's group received a scare Feb. 9 when a motorist drove her vehicle into the building that housed "Recall Hall." But recall proponents were out collecting signatures the following weekend.
www.news-herald.com /site/news.cfm?newsid=13986709&BRD=1698&PAG=461&dept_id=21849&rfi=6   (1578 words)

  
 Conway - Wikipedia, the free encyclopedia
The mathematician John Horton Conway has given his name to a number of his discoveries
There is also another mathematician named John Conway, John B. Conway of the University of Tennessee.
Several ships of the Royal Navy have been named HMS Conway, most famously the school ship.
en.wikipedia.org /wiki/Conway   (148 words)

  
 Constructing HS and Co3 in GAP 4
As a first part of the construction of Co3 the Higman - Sims group HS gets constructed, and this is also described in a talk by Alexander Hulpke.
The automorphism group of this code is the Mathieu group M24.
Using again the acting group we see that it is sufficient to test jointness for representatives of the orbits of the stabilizer of 23.
www-groups.dcs.st-and.ac.uk /gap/Doc/Examples/co3.html   (2537 words)

  
 Conway's take eclipses severance - 2004-10-25 - East Bay Business Times   (Site not responding. Last check: 2007-11-03)
And Conway, who was dismissed as CEO by the board of directors on Sept. 30 in the midst of the Pleasanton software maker's 16-month battle with would-be acquirer, Oracle Corp., could pocket $64.2 million.
The accelerated vesting of stocks and options to Conway that would otherwise have returned to PeopleSoft was not part of the May 1999 employment agreement that Conway signed when he joined PeopleSoft as president, before ascending to CEO four months later.
That is another reason Conway, if he is not an inveterate Ellison hater but a true economic rationalist as he tried to portray himself in his last months in office, should now welcome an Oracle takeover.
www.bizjournals.com /eastbay/stories/2004/10/25/story1.html?t=printable   (1054 words)

  
 Station Information - Conway group
Conway, J. A perfect group of order 8,315,553,613,086,720,000 and the sporadic simple groups.
, the resulting auotmorphism group, i.e., the group of Leech lattice automorphisms preserving the complex structure, when divided by the 6-element group of complex scalar matrices, gives the Suzuki group Suz (of order 448,345,497,600).
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; Wilson, R. Atlas of finite groups.
www.stationinformation.com /encyclopedia/c/co/conway_group.html   (251 words)

  
 Jefferson Hills citizens group irked over 2 solicitors   (Site not responding. Last check: 2007-11-03)
Conway said legal expenses had averaged $104,401 since 2000, while the average cost was $56,800 from 1992 through 1999.
The citizens group said the purchase was illegal and was orchestrated by the borough attorneys in a "behind-closed-doors" manner.
Another complaint presented by Taylor's group was the status of police Chief Jack Maple, who has a legal case pending against the borough over a 2001 retirement package he was offered by council, but which was voided by Mayor Mary Larcinese.
www.post-gazette.com /pg/05132/502855.stm   (436 words)

  
 Conway Main Street USA :: Conway, South Carolina :: History   (Site not responding. Last check: 2007-11-03)
Conway's first European settlers were Irish immigrants who carved out a new life for themselves amid the wilderness of Colonial America.
The railroad came to Conway in 1887, and a few years later a group of Conway businessmen extended it to the coast,launching what is now Myrtle Beach.
Conway has flourished as the county seat of Horry County and as the center of one of the largest tobacco-producing regions in the nation.
www.conwaymainstreet.com /history.htm   (325 words)

  
 UNC Asheville -- Public Information -- Official News Release
Conway, a graduate of Cambridge University, is a professor of mathematics at Princeton University.
Conway discovered one of the largest finite groups of symmetries known to man, now called the Conway group.
Conway is a Fellow of the Royal Society and received the Polya Prize of the London Mathematical Society.
www.unca.edu /news/releases/2004/parsons.html   (307 words)

  
 Conway Inn Dauphin, Manitoba, Canada - Conway Inn Group Booking Reservation Meetings Meeting Planning Weddings ...
The Conway Inn is the perfect place to hold a corporate event such as; team building, sales meetings, board of director meetings, or just corporate hospitality.
Weddings at the Conway Inn with their facilities, guest rooms and experienced wedding and group management staff, are magnificent.
A Conway Inn wedding reception is a party where guests come to celebrate the marriage of the bride and groom.
www.meetingforce.com /conway-inn-hotel-68h858.html   (727 words)

  
 Conway Group - Stuart   (Site not responding. Last check: 2007-11-03)
Stuart Conway was born and raised in Sussex, England.
Moving to the University of Bristol, Stuart completed his PhD under the guidance of Dr David Jane and Professor Jeff Watkins FRS.
This work involved the synthesis of amino acids deisgned to act as antagonists at group III metabotropic glutamate receptors.
chemistry.st-and.ac.uk /staff/sjc/group/Group/sjc16.htm   (181 words)

  
 AJR - Healing a Newsroom   (Site not responding. Last check: 2007-11-03)
Conway, 61, says "the first order of business is healing" at the Tribune, where two staffers admitted to selling information about the Elizabeth Smart kidnapping case, some of it embellished, to the National Enquirer (see Free Press, page 10).
She later ran a group of weeklies for the South Florida Newspaper Network, and in 1990 Singleton hired her as editor and publisher of the York Dispatch and Sunday News in Pennsylvania.
The announcement of Conway's move came days after ANG said it was laying off 49 employees, 17 of them on the editorial side.
www.ajr.org /article_printable.asp?id=3035   (527 words)

  
 Conway group - Encyclopedia, History, Geography and Biography
Conway group - Encyclopedia, History, Geography and Biography
As the scalar −1 fixes no non-zero vector, we can regard these two groups as subgroups of Co Other sporadic groups
Conway group, Other sporadic groups, References and Sporadic groups.
www.arikah.net /encyclopedia/Conway_group   (285 words)

  
 Dan Conway - Age Group Ace - Nov '02
Apparently, running up the ski hill has been productive, as Conway, one of the top young masters in the world two decades ago, is still very competitive in his age group.
A halfback at Wisconsin State (Superior) as well as a sprinter on the school’s track team, Conway got into distance running at age 38 while spending a year in England as an exchange teacher.
To avoid burn-out himself, Conway says he takes a month off of running each year and then waits for a wave of enthusiasm.
www.runningtimes.com /issues/02nov/conway.htm   (508 words)

  
 Conway Police Department. Conway, NH   (Site not responding. Last check: 2007-11-03)
We are a volunteer group of law enforcement wives, significant others and friends.
We are mainly a Conway Police group, but welcome friends of other law enforcement agencies to join.
We are also a support group for police families in time of crisis.
www.conwaypd.com /ladies.html   (114 words)

  
 10 O'Clock News | [Interview with Conway, Kearney and O'Shea, part 3]
Conway says that it is not unusual for youth to be out in the streets in Charlestown; that she cannot identify the element that needs to be controlled by the police.
Conway says that there are a few leaders making trouble, but many kids are caught up in the events.
Conway comments on TPF action against female residents of Charlestown.
main.wgbh.org /ton/programs/A61_02.html   (252 words)

  
 Conway Tours Gray Line Providence, Newport, Rhode Island
Conway Tours' Group Sales Department will prepare a tour for your group of 10 or 1,000 members.
Our group leader incentives are the best in the industry to reward you for your efforts in assembling your group on a Conway Tour.
Our group sales staff is unrivaled in the region and you will quickly realize why Conway Tours is the number one group tour package company in Southern New England.
www.conwaytours.com /group.cfm   (212 words)

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