The Local Structure Of Finite Groups Of Characteristic 2 Type

DOWNLOAD

Download The Local Structure Of Finite Groups Of Characteristic 2 Type PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Local Structure Of Finite Groups Of Characteristic 2 Type book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

The Local Structure Of Finite Groups Of Characteristic 2 Type

DOWNLOAD
Author : Daniel Gorenstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1983

The Local Structure Of Finite Groups Of Characteristic 2 Type written by Daniel Gorenstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

Studies the generic finite simple group of characteristic 2 type whose proper subgroups are of known type. The authors' principal result (the Trichotomy Theorem) asserts that such a group has one of three precisely determined internal structures.

The Local Structure Of Finite Groups Of Characteristic 2 Type

DOWNLOAD
Author : Daniel Gorenstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1983

The Local Structure Of Finite Groups Of Characteristic 2 Type written by Daniel Gorenstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

The Classification Of The Finite Simple Groups Number 8

DOWNLOAD
Author : Daniel Gorenstein
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-12-12

The Classification Of The Finite Simple Groups Number 8 written by Daniel Gorenstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Mathematics categories.

This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series—the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups. Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.

The Local Structure Theorem For Finite Groups With A Large P Subgroup

DOWNLOAD
Author : U. Meierfrankenfeld
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-21

The Local Structure Theorem For Finite Groups With A Large P Subgroup written by U. Meierfrankenfeld and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Mathematics categories.

Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.

The Classification Of The Finite Simple Groups

DOWNLOAD
Author : Daniel Gorenstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-11-18

The Classification Of The Finite Simple Groups written by Daniel Gorenstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-18 with Mathematics categories.

The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.

Finite And Locally Finite Groups

DOWNLOAD
Author : B. Hartley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Finite And Locally Finite Groups written by B. Hartley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni

The Subgroup Structure Of The Finite Classical Groups

DOWNLOAD
Author : Peter B. Kleidman
language : en
Publisher: Cambridge University Press
Release Date : 1990-04-26

The Subgroup Structure Of The Finite Classical Groups written by Peter B. Kleidman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-26 with Mathematics categories.

With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.

The Santa Cruz Conference On Finite Groups

DOWNLOAD
Author : Bruce Cooperstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1980

The Santa Cruz Conference On Finite Groups written by Bruce Cooperstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Algorithmic Algebra And Number Theory

DOWNLOAD
Author : B.Heinrich Matzat
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Algorithmic Algebra And Number Theory written by B.Heinrich Matzat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.

This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained during this period. This includes survey articles on the main research projects within the program: • algorithmic number theory emphasizing class field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules • computational algebraic geometry including real quantifier elimination and real algebraic geometry, and invariant theory of finite groups • computational aspects of presentations and representations of groups, especially finite groups of Lie type and their Heeke algebras, and of the isomorphism problem in group theory. Some of the articles illustrate the current state of computer algebra sys tems and program packages developed with support by the research pro gram, such as KANT and LiDIA for algebraic number theory, SINGULAR, RED LOG and INVAR for commutative algebra and invariant theory respec tively, and GAP, SYSYPHOS and CHEVIE for group theory and representation theory.

Proceedings Of The Rutgers Group Theory Year 1983 1984

DOWNLOAD
Author : Michael Aschbacher
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28

Proceedings Of The Rutgers Group Theory Year 1983 1984 written by Michael Aschbacher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.

"With the classification of finite groups, an era of research in the subject ended. Some of the key figures in the classification program organized a research year at Rutgers University to analyze future directions of research in group theory. This volume is a record of the research year"- verso