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Author | : Alexander Hulpke |
Publisher | : Walter de Gruyter |
Total Pages | : 287 |
Release | : 2008-08-22 |
Genre | : Mathematics |
ISBN | : 3110199742 |
Download Finite Geometries, Groups, and Computation Book in PDF, ePub and Kindle
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 | : Peter Dembowski |
Publisher | : Springer Science & Business Media |
Total Pages | : 414 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9783540617860 |
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Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown Unviersity and the University of Illinois, mainly with R. Baer. Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tuebingen. Dembowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London (Queen Mary College), Rome, and Madison, WI. Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries" brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and left its trace also in neighbouring areas.
Author | : Jon F. Carlson |
Publisher | : Springer Science & Business Media |
Total Pages | : 782 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401702152 |
Download Cohomology Rings of Finite Groups Book in PDF, ePub and Kindle
Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature.
Author | : Peter Dembowski |
Publisher | : Springer Science & Business Media |
Total Pages | : 394 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642620124 |
Download Finite Geometries Book in PDF, ePub and Kindle
Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown Unviersity and the University of Illinois, mainly with R. Baer. Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tuebingen. Dembowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London (Queen Mary College), Rome, and Madison, WI. Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries" brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and left its trace also in neighbouring areas.
Author | : Martin W. Liebeck |
Publisher | : Cambridge University Press |
Total Pages | : 505 |
Release | : 1992-09-10 |
Genre | : Mathematics |
ISBN | : 0521406854 |
Download Groups, Combinatorics and Geometry Book in PDF, ePub and Kindle
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author | : N.S. Narasimha Sastry |
Publisher | : Springer |
Total Pages | : 206 |
Release | : 2018-09-21 |
Genre | : Mathematics |
ISBN | : 9811320470 |
Download Group Theory and Computation Book in PDF, ePub and Kindle
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
Author | : Robert H. Gilman |
Publisher | : American Mathematical Soc. |
Total Pages | : 150 |
Release | : 1999 |
Genre | : Computers |
ISBN | : 0821810537 |
Download Groups, Languages and Geometry Book in PDF, ePub and Kindle
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke College (South Hadley, MA). The conference was devoted to computational aspects of geometric group theory, a relatively young area of research which has grown out of an influx of ideas from topology and computer science into combinatorial group theory. The book reflects recent progress in this interesting new field. Included are articles about insights from computer experiments, applications of formal language theory, decision problems, and complexity problems. There is also a survey of open questions in combinatorial group theory. The volume will interest group theorists, topologists, and experts in automata and language theory.
Author | : John McKay |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821850474 |
Download Finite Groups--coming of Age Book in PDF, ePub and Kindle
These conference papers should dispel any post-classification pessimism about the future of the theory of finite simple groups. Having noted that the theory developed for the classification touches on so few other branches of mathematics, the editor focuses on research in finite simple groups not central to the classification and presents a broad context for the recent results in the field. The papers are aimed at researchers and graduate students in algebra. They pay special attention to current research in sporadic geometry, the Fischer-Griess Monster group, and moonshine. Though all the papers are of high research value, the following papers of unusual significance should be singled out: Frenkel, Lepowsky, and Meurman's construction of the Monster group $F_1$; Conway and Queen's computation of characters of $E_8({\bf C})$; Norton's proof of the uniqueness of the Monster; and Mason's exploration of moonshine.
Author | : Alexander Anatolievich Ivanov |
Publisher | : World Scientific |
Total Pages | : 347 |
Release | : 2003-03-19 |
Genre | : Mathematics |
ISBN | : 9814486426 |
Download Groups, Combinatorics And Geometry Book in PDF, ePub and Kindle
Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups.This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications.
Author | : Tosiro Tsuzuku |
Publisher | : |
Total Pages | : 328 |
Release | : 1976 |
Genre | : |
ISBN | : |
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