The Finite Simple Groups
This book is intended as an introduction to all the finite simple groups.During the monumental struggle classify the finites imple groups(and indeed since), a huge amount of information about these groups has been accumulated. Conveying this information to the next generation of students and researchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classification Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian)finite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].
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The Finite Simple Groups
This book is intended as an introduction to all the finite simple groups.During the monumental struggle classify the finites imple groups(and indeed since), a huge amount of information about these groups has been accumulated. Conveying this information to the next generation of students and researchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classification Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian)finite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].
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The Finite Simple Groups

The Finite Simple Groups

by Robert Wilson
The Finite Simple Groups

The Finite Simple Groups

by Robert Wilson

Overview

This book is intended as an introduction to all the finite simple groups.During the monumental struggle classify the finites imple groups(and indeed since), a huge amount of information about these groups has been accumulated. Conveying this information to the next generation of students and researchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classification Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian)finite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].

Product Details

ISBN-13: 9781447125273
Publisher: Springer London
Publication date: 03/07/2012
Series: Graduate Texts in Mathematics , #251
Edition description: 2009
Pages: 298
Product dimensions: 6.10(w) x 9.25(h) x 0.26(d)
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