# A Course in Group Theory (Oxford Science Publications) by John F. Humphreys

Title:

A Course in Group Theory (Oxford Science Publications)

Author:

John F. Humphreys

ISBN:

0198534590

ISBN13:

978-0198534594

Formats available:

mobi docx txt lit

Category:

Mathematics

Language:

English

Publisher:

Oxford University Press; 1 edition (July 11, 1996)

Pages:

296 pages

PDF size:

1402 kb

FB2 size:

1221 kb

EPUB size:

1757 kb

## Download links

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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.

Related eBooks:

MaridorPhallozs DwarfsIt is only recently (a few decades ago: in mathematics that is an eyeblink) that the finite simple groups were finally classified. To those of a certain cast of interest this is mindblowingly exciting - but the mathematics behind it is challenging.

This book does a fair job of working up to speed on the various concepts, and provides the reader with plentiful illustrative examples throughout the text as he goes. Classification is one of the main objects of the exercise (as is so much of group theory), and the reader is regularly pointed in that direction.

One problem I had with this (which is why only 4 stars) is that at times it does go a little fast. To a certain extent it has to - it's a short book and a colossal subject. If this *is* a problem, then there is no reason why you can't read around the subject from other sources. And there are plenty out there.

Shakataxeit is very, very nice. in about 200 pages, it gives you all of the basics. a bright high school student can read it.

books like these are so much better than annoying books like Artin, or Lang which are like 700 pages and are basically a brain dump of the author onto the student.

if you want to learn group theory by yourself and have a patience, read this book, then the book by James and Liebeck. then to learn Lie algebras/groups, use a book like Erdmann or Kirillov or this very short new book by Yvette Kosmann-Schwarzbach. for lots of examples look at Fulton & Harris.

Bennwith a great deal of care. Each concept introduced

is supported with at least some examples, difficult

concepts with many. The book is rigorous without

being pedantic. The last chapter, which I could not

resist skipping to, contains a survey of the description

of finite groups with some historical notes and indications

of where the reader might go next. I am looking for

other books by the same author. It is obfious from

this book that the author is an excellent teacher.