Character theory of finite groups
 303 Pages
 1994
 3.64 MB
 6504 Downloads
 English
Dover , New York
Finite groups., Characters of gr
Statement  I. Martin Isaacs. 
Classifications  

LC Classifications  QA177 .I83 1994 
The Physical Object  
Pagination  xii, 303 p. ; 
ID Numbers  
Open Library  OL1082697M 
ISBN 10  0486680142 
LC Control Number  94006305 


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345 Pages3.65 MB2635 DownloadsFormat: EPUB 


Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect Cited by: Character theory provides a powerful tool for proving theorems about finite groups.
In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect.
Search in this book series. Character Theory of Finite Groups. Edited by I. Martin Ismcs. Vol Pages iixii, () Download full volume.
Previous volume. Next volume. Actions for selected chapters. Appendix Some character tables Pages Download PDF. Chapter preview. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups.
Developing the module theory of complex group algebras, this book provides the moduletheoretic foundations. It covers the development of the basic theory/5. out of 5 stars An excellent book on character theory.
Description Character theory of finite groups PDF
Format: Paperback. This classic book offers one of the definite treatments of character theory of finite groups, written by one of the foremost experts in the field.
The text assumes that the reader had been exposed to a one year sequence of graduate level algebra course 4/5. Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect and are reflected in the structure of the group/5(8).
This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for thirdyear students, it is now better suited for graduate courses, and provides broader coverage than books.
The representation theory of nite groups has a long history, going back to the 19th century and earlier. A milestone in the subject was the de nition of characters of nite groups by Frobenius in Prior to this there was some use of the ideas which we can now identify as representation theory (characters of cyclic groups as used byFile Size: 1MB.
Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely Character theory of finite groups book to properties of.
Excellent text approaches characters via rings (or algebras). In addition to techniques for applying characters to "pure" group theory, much of the book focuses on properties of the characters themselves and how these properties reflect and are reflected in the structure of the group.
Download Character theory of finite groups FB2
"A pleasure to read." — American Mathematical Society. edition. Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect and are reflected in the structure of the group/5(6).
Machine derived contents note: Table of contents for Character theory of finite groups / I. Martin Isaacs.
Bibliographic record and links to related information available from the Library of Congress catalog Information from electronic data provided by the publisher. May be incomplete or contain other coding. Character theory is a powerful tool for understanding finite groups.
In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras/5(2).
Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group.
The book begins by developing. Character theory of finite groups. Berlin ; New York: Walter de Gruyter, (OCoLC) Material Type: Internet resource: Document Type: Book. This is not a book for undergraduates (if you want one of those, check out Steinberg’s Representation Theory of Finite Groups for an approach that concentrates on the representation, or James and Liebeck’s Representations and Characters of Finite Groups for a somewhat more moduleoriented look at things).
Isaacs presupposes a good. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions.
The ATLAS of Finite Groups, often simply known as the ATLAS, is a group theory book by John Horton Conway, Robert Turner Curtis, Simon Phillips Norton, Richard Alan Parker and Robert Arnott Wilson (with computational assistance from J.
Thackray), published in December by Oxford University Press and reprinted with corrections in (ISBN ). Chapters 2{5 should be read by everybody; it covers the basic character theory of nite groups. The rst two sections of Chapter 6 are also recommended for all readers; the reader who is less comfortable with Galois theory can then skip the last section and move on to Chapter 7 on permui.
The topics include large transitive groups with many elements having fixed points, threads through group theory, a pgroup with no normal large abelian subgroup, commutators with wreath products, problems in character theory, lifting theorems and applications to group algebras, and character degrees of normally monomial maximal class 5groups.
Character theory of ﬁnite groups / I. Martin Isaacs. Originally published: New York: Academic Press,in series: Pure and applied mathematics ; Includes bibliographical references and index.
ISBN (alk. paper) ISBN (alk. paper) 1. Finite groups. Characters of groups. Title. QA Character Theory of Finite Groups Hardcover – Aug. 1 by Bertram Huppert (Author) out of 5 stars 1 rating. See all 4 formats and editions Hide other 5/5(1). reading and reference will be Martin Isaacs’ Character Theory of Finite Groups.
We will cover about half of the book over the course of this semester. It is (according to Professor Hermann) a readable book, so it would be appropriate for this (plannedtobe) reading course. Representation Theory of Finite Groups Professor: Dr.
Peter Hermann. I'm stuck on an exercise in Isaacs's book "Character Theory of Finite Groups"  it relates to something I'm looking at as part of ongoing research, but I guess it belongs here rather than on MathOverflow, since it's an exercise and hence ought to be solvable by basic techniques. This book is an introductory course and it could be used by mathematicians and students who would like to learn quickly about the representation theory and character theory of finite groups, and for nonalgebraists, statisticians and physicists who use representation theory.” (Jamshid Moori, Mathematical Reviews, Issue j)Brand: SpringerVerlag New York.
This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de València, Spain, on June 3–5,in honor of I.
Martin Isaacs. The topics include permutation groups, character theory, \(p\)groups, and group rings. Difference sets are of central interest in finite geometry and design theory.
One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. It is very serious (finite) group theory, with representation (and character) theory playing a huge role, and it is aimed at making converts to the cause.
The book looks to be a compact and complete presentation of all the ingredients that go into a solid education for such aspiring scholars, and of course an expert account of the material. This is a clear, accessible and up to date exposition of modular representation theory of finite groups from a charactertheoretic viewpoint.
After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties.
The next three chapters study and prove Brauer's first, second and third main theorems in turn. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.
It only takes a minute to sign up. The statement in the book of Isaacs is wrong. It should be as follows. About a Corollary of Isaacs' “character theory of finite groups”: does the converse implication.
The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge.
Details Character theory of finite groups EPUB
Character theory is explored in detail Cited by: Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups.
Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group by: This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory.
The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting Cited by:






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