# The Theory of Groups: Second Edition

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*Marshall Hall, Jr.*

AMS Chelsea Publishing: An Imprint of the American Mathematical Society

Perhaps the first truly famous book devoted primarily to
finite groups was Burnside's book. From the time of its second edition
in 1911 until the appearance of Hall's book, there were few books of
similar stature. Hall's book is still considered to be a classic
source for fundamental results on the representation theory for finite
groups, the Burnside problem, extensions and cohomology of groups,
\(p\)-groups and much more. For the student who has already had
an introduction to group theory, there is much treasure to be found in
Hall's Theory of Groups.

From the Preface: “The present
volume is intended to serve a dual purpose. The first ten chapters are
meant to be the basis for a course in group theory, and exercises have
been included at the end of each of these chapters. The last ten
chapters are meant to be useful as optional material in a course or as
reference material. When used as a text, the book is intended for
students who have had an introductory course in modern algebra
comparable to a course taught from Birkhoff and Mac Lane's A
Survey of Modern Algebra. I have tried to make this book as
self-contained as possible, but where background material is needed
references have been given, chiefly to Birkhoff and Mac
Lane.”

#### Readership

Graduate students and research mathematicians.

#### Reviews & Endorsements

… still a very good introduction to the subject.

-- Zentralblatt MATH

By some inexplicable trick of memory, the reviewer, in reading this book, recaptured all the excitement of his first reading of Burnside … He recommends the volume with enthusiasm.

-- Mathematical Reviews