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Book details
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Author : John F. Humphreys
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Pages : 296 pages
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Publisher : Oxford University Press 1996-07-11
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Language : English
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ISBN-10 : 0198534590
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ISBN-13 : 9780198534594
Book Synopsis
The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely
unknown outside of the mathematics community. This introduction to group theory is also an attempt to make this important work better known.
Emphasizing classification themes throughout, the book gives a clear and comprehensive introduction to groups and covers all topics likely to be
encountered in an undergraduate course. Introductory chapters explain the concepts of group, subgroup and normal subgroup, and quotient
group. The homomorphism and isomorphism theorems are explained, along with an introduction to G-sets. Subsequent chapters deal with finite
abelian groups, the Jordan-Holder theorem, soluble groups, p-groups, and group extensions. The numerous worked examples and exercises in
this excellent and self-contained introduction will also encourage undergraduates (and first year graduates) to further study.