Black Box Classical Groups

Author : William M. Kantor,Ákos Seress
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 50,5 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821826195

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Black Box Classical Groups by William M. Kantor,Ákos Seress Pdf

If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background. This algorithm has applications to matrix group questions and to nearly linear time algorithms for permutation groups. In particular, we upgrade all known nearly linear time Monte Carlo permutation group algorithms to nearly linear Las Vegas algorithms when the input group has no composition factor isomorphic to an exceptional group of Lie type or a 3-dimensional unitary group.

Author : Komei Fukuda,Joris van der Hoeven,Michael Joswig,Nobuki Takayama
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 49,5 Mb
Release : 2010-08-30
Category : Computers
ISBN : 9783642155819

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Mathematical Software - ICMS 2010 by Komei Fukuda,Joris van der Hoeven,Michael Joswig,Nobuki Takayama Pdf

The ICMS Developer's Meeting is an international congress for which the main theme is mathematical software. The 2010 meeting was the third of a series of meetings of similar theme, the ?rst being held in Beijing, China in 2002,and the second in Castro-Urdiales, Spain in 2006. The ?eld of mathematics has numerous branches, and in each branch we ?nd that algorithms, and also implementations and applications of software s- tems, are studied. Researchers who endeavor to make such studies also have international meetings within their speci'c branches of mathematics, and these meetings have made signi'cant contributions to the ?elds in which they lie. The ICMS (International Congresseson Mathematical Software), on the other hand, is a general (not branch speci'c) meeting on mathematical software, which is held every four years, and is a rare opportunity for developers of mathematical softwarefrom di'erent branchesof mathematics, as well as mathematicians who are interested in mathematical software, to gather together.

Author : C. M. Campbell
Publisher : Cambridge University Press
Page : 374 pages
File Size : 46,8 Mb
Release : 1999-02-18
Category : Mathematics
ISBN : 0521655765

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Groups St Andrews 1997 in Bath: Volume 2 by C. M. Campbell Pdf

This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.

Author : William M. Kantor,Ákos Seress
Publisher : Walter de Gruyter
Page : 376 pages
File Size : 40,6 Mb
Release : 2014-01-02
Category : Mathematics
ISBN : 9783110872743

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Groups and Computation III by William M. Kantor,Ákos Seress Pdf

This volume contains contributions by the participants of the conference "Groups and Computation", which took place at The Ohio State University in Columbus, Ohio, in June 1999. This conference was the successor of two workshops on "Groups and Computation" held at DIMACS in 1991 and 1995. There are papers on permutation group algorithms, finitely presented groups, polycyclic groups, and parallel computation, providing a representative sample of the breadth of Computational Group Theory. On the other hand, more than one third of the papers deal with computations in matrix groups, giving an in-depth treatment of the currently most active area of the field. The points of view of the papers range from explicit computations to group-theoretic algorithms to group-theoretic theorems needed for algorithm development.

Author : Larry Finkelstein, William M. Kantor
Publisher : American Mathematical Soc.
Page : 404 pages
File Size : 45,9 Mb
Release : 2024-06-30
Category : Algebra
ISBN : 0821885774

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Groups and Computation II by Larry Finkelstein, William M. Kantor Pdf

The workshop "Groups and Computations" took place at the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University in June 1995. This and an earlier workshop held in October 1991 was aimed at merging theory and practice within the broad area of computation with groups. The primary goal of the previous workshop was to foster a dialogue between researchers studying the computational complexity of group algorithms and those engaged in the development of practical software. It was expected that this would lead to a deeper understanding of the mathematical issues underlying group computation and that this understanding would lead, in turn, to faster algorithms. Comments and subsequent work indicated that this goal had been achieved beyond expectations. The second workshop was designed to reinforce the progress in these directions. The scientific program consisted of invited lectures and research announcements, as well as informal discussions and software demonstrations. The eight extended talks discussed randomization, permutation groups, matrix groups, software systems, fast Fourier transforms and their applications to signal processing and data analysis, computations with finitely presented groups, and implementation and complexity questions. As in the previous workshop, speakers ranged from established researchers to graduate students.

Author : C. M. Campbell,M. R. Quick,E. F. Robertson,C. M. Roney-Dougal,G. C. Smith,G. Traustason
Publisher : Cambridge University Press
Page : 305 pages
File Size : 47,6 Mb
Release : 2011-06-16
Category : Mathematics
ISBN : 9781139498289

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Groups St Andrews 2009 in Bath: Volume 2 by C. M. Campbell,M. R. Quick,E. F. Robertson,C. M. Roney-Dougal,G. C. Smith,G. Traustason Pdf

This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.

Author : Alexander Hulpke,Robert Liebler,Tim Penttila,Akos Seress
Publisher : Walter de Gruyter
Page : 287 pages
File Size : 54,5 Mb
Release : 2008-08-22
Category : Mathematics
ISBN : 9783110199741

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Finite Geometries, Groups, and Computation by Alexander Hulpke,Robert Liebler,Tim Penttila,Akos Seress Pdf

This volume is the proceedings of a conference on Finite Geometries, Groups, and Computation that took place on September 4-9, 2004, at Pingree Park, Colorado (a campus of Colorado State University). Not accidentally, the conference coincided with the 60th birthday of William Kantor, and the topics relate to his major research areas. Participants were encouraged to explore the deeper interplay between these fields. The survey papers by Kantor, O'Brien, and Penttila should serve to introduce both students and the broader mathematical community to these important topics and some of their connections while the volume as a whole gives an overview of current developments in these fields.

Author : Hoon Hong,Chee Yap
Publisher : Springer
Page : 762 pages
File Size : 42,5 Mb
Release : 2014-08-01
Category : Computers
ISBN : 9783662441992

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Mathematical Software -- ICMS 2014 by Hoon Hong,Chee Yap Pdf

This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.

Author : A. A. Ivanov,Martin W. Liebeck,Jan Saxl
Publisher : World Scientific
Page : 347 pages
File Size : 40,9 Mb
Release : 2003
Category : Mathematics
ISBN : 9789812383129

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Groups, Combinatorics & Geometry by A. A. Ivanov,Martin W. Liebeck,Jan Saxl Pdf

"This book contains the proceedings of the L.M.S. Durham Symposium on Groups, Geometry and Combinatorics, July 16-26, 2001"--P. v.

Author : Derek F. Holt,Bettina Eick,Eamonn A. O'Brien
Publisher : CRC Press
Page : 532 pages
File Size : 42,7 Mb
Release : 2005-01-13
Category : Mathematics
ISBN : 9781420035216

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Handbook of Computational Group Theory by Derek F. Holt,Bettina Eick,Eamonn A. O'Brien Pdf

The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame

Author : C. M. Campbell,E. F. Robertson,N. Ruskuc,G. C. Smith
Publisher : Cambridge University Press
Page : 396 pages
File Size : 46,7 Mb
Release : 1999
Category : Group theory
ISBN : 0521655889

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Groups St Andrews 1997 in Bath by C. M. Campbell,E. F. Robertson,N. Ruskuc,G. C. Smith Pdf

Author : Alla Detinko,Dane Flannery,Eamonn O'Brien
Publisher : Springer
Page : 124 pages
File Size : 44,6 Mb
Release : 2013-01-13
Category : Mathematics
ISBN : 9781447148142

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Probabilistic Group Theory, Combinatorics, and Computing by Alla Detinko,Dane Flannery,Eamonn O'Brien Pdf

Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the interface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main open problems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up to the very latest developments. One primary aim of the book’s approach and design is to enable postgraduate students to make immediate use of the material presented.

Author : John Cossey,Charles F. Miller,Walter D. Neumann,Michael Shapiro
Publisher : Walter de Gruyter
Page : 349 pages
File Size : 55,9 Mb
Release : 2011-05-02
Category : Mathematics
ISBN : 9783110806861

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Geometric Group Theory Down Under by John Cossey,Charles F. Miller,Walter D. Neumann,Michael Shapiro Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Alexander Kulikov,Nikolay Vereshchagin
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 40,6 Mb
Release : 2011-06-03
Category : Computers
ISBN : 9783642207112

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Computer Science – Theory and Applications by Alexander Kulikov,Nikolay Vereshchagin Pdf

This book constitutes the proceedings of the 6th International Computer Science Symposium in Russia, CSR 2011, held in St. Petersburg, Russia, in June 2011. The 29 papers presented were carefully reviewed and selected from 76 submissions. The scope of topics of the symposium was quite broad and covered basically all areas of the foundations of theoretical computer science.

Author : Anonim
Publisher : Unknown
Page : 386 pages
File Size : 50,8 Mb
Release : 1999
Category : Algebra
ISBN : UOM:39015047830107

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Groups and Computation by Anonim Pdf

Consists of papers presented at the workshop on Groups and Computation held at DIMACS.