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Author : William Burnside
Publisher : Unknown
Page : 412 pages
File Size : 40,5 Mb
Release : 1897
Category : Finite groups
ISBN : UCSD:31822035122696
Author : William Burnside
Publisher : Unknown
Page : 428 pages
File Size : 50,9 Mb
Release : 1897
Category : Finite groups
ISBN : STANFORD:36105002073315
Author : William Burnside
Publisher : CUP Archive
Page : 128 pages
File Size : 46,8 Mb
Release : 2012
Category : Electronic
ISBN : 8210379456XXX
Author : Robert Daniel Carmichael
Publisher : Unknown
Page : 447 pages
File Size : 50,5 Mb
Release : 1954
Category : Group theory
ISBN : OCLC:10680564
Author : W. BURNSIDE
Publisher : Unknown
Page : 0 pages
File Size : 48,8 Mb
Release : 2018
Category : Electronic
ISBN : 1033089508
Author : Harold Hilton
Publisher : Unknown
Page : 260 pages
File Size : 51,8 Mb
Release : 2017-08-18
Category : Mathematics
ISBN : 1375434799
Author : Richard G. Swan
Publisher : Springer
Page : 242 pages
File Size : 48,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540363125
Author : Robert D. Carmichael
Publisher : Unknown
Page : 447 pages
File Size : 46,8 Mb
Release : 1956
Category : Electronic
ISBN : OCLC:1079841687
Author : Robert D. Carmichael
Publisher : Unknown
Page : 0 pages
File Size : 41,8 Mb
Release : 1956
Category : Group theory
ISBN : OCLC:1071635609
Author : Harold Hilton
Publisher : Legare Street Press
Page : 0 pages
File Size : 44,8 Mb
Release : 2022-10-27
Category : Electronic
ISBN : 1016564546
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Harold Hilton
Publisher : Unknown
Page : 248 pages
File Size : 49,5 Mb
Release : 1908
Category : Group theory
ISBN : 0598925392
Author : W. Burnside
Publisher : Unknown
Page : 448 pages
File Size : 47,6 Mb
Release : 1994-05-05
Category : Mathematics
ISBN : 9393971676
CHAPTER I. ON SUBSTITUTIONS. CHAPTER II. THE DEFINITION OF A GROUP. CHAPTER III. ON THE SIMPLER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION. CHAPTER IV. ON ABELIAN GROUPS. CHAPTER V. ON GROUPS WHOSE ORDERS ARE POWERS OF PRIMES CHAPTER VI. ON SYLOW'S THEOREM. CHAPTER VII. ON THE COMPOSITION-SERIES OF A GROUP. CHAPTER VIII. ON SUBSTITUTION GROUPS: TRANSITIVE AND INTRANSITIVE GROUPS. CHAPTER IX. ON SUBSTITUTION GROUPS: PRIMITIVE AND IMPRIMITIVE GROUPS. CHAPTER X. ON SUBSTITUTION GROUPS: TRANSITIVITY AND PRIMITIVITY: (CONCLUDING PROPERTIES). CHAPTER XI. ON THE ISOMORPHISM OF A GROUP WITH ITSELF. CHAPTER XII. ON THE GRAPHICAL REPRESENTATION OF A GROUP CHAPTER XIII. ON THE GRAPHICAL REPRESENTATION OF GROUPS: GROUPS OF GENUS ZERO AND UNITY: CAYLEY'S COLOUR GROUPS CHAPTER XIV. ON THE LINEAR GROUP. CHAPTER XV. ON SOLUBLE AND COMPOSITE GROUPS
Author : M. Aschbacher
Publisher : Cambridge University Press
Page : 320 pages
File Size : 51,9 Mb
Release : 2000-06-26
Category : Mathematics
ISBN : 0521786754
The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.
Author : Harold Hilton
Publisher : Forgotten Books
Page : 254 pages
File Size : 46,8 Mb
Release : 2015-07-27
Category : Mathematics
ISBN : 1332043534
Excerpt from An Introduction to the Theory of Groups of Finite Order The nomenclature of the subject is by no means settled. I have tried to select definitions which have the advantage of being either self-explanatory (e. G. Greatest common subgroup or concise normal but the task was not at all easy. I have treated the pure group-theory with greater thoroughness than the applications. The aim of chapters H, hi, IV, VI, VII, VIII is to stimulate interest, rather than to give a complete or rigid investigation of the subjects there dealt with. On a first reading the student may omit, if he chooses, chapters hi, IV, VII, VIII, XIV, XV, and the last section of Chapter V. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : I. Martin Isaacs
Publisher : American Mathematical Society
Page : 368 pages
File Size : 44,7 Mb
Release : 2023-01-24
Category : Mathematics
ISBN : 9781470471606
The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem. Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. Proofs often contain original ideas, and they are given in complete detail. In many cases they are simpler than can be found elsewhere. The book is largely based on the author's lectures, and consequently, the style is friendly and somewhat informal. Finally, the book includes a large collection of problems at disparate levels of difficulty. These should enable students to practice group theory and not just read about it. Martin Isaacs is professor of mathematics at the University of Wisconsin, Madison. Over the years, he has received many teaching awards and is well known for his inspiring teaching and lecturing. He received the University of Wisconsin Distinguished Teaching Award in 1985, the Benjamin Smith Reynolds Teaching Award in 1989, and the Wisconsin Section MAA Teaching Award in 1993, to name only a few. He was also honored by being the selected MAA Pólya Lecturer in 2003–2005.
