How many groups of order n are there? This is a natural question
for anyone studying group theory, and this Tract provides an
exhaustive and up-to-date account of research into this question
spanning almost fifty years. The authors presuppose an
undergraduate knowledge of group theory, up to and including
Sylow's Theorems, a little knowledge of how a group may be
presented by generators and relations, a very little representation
theory from the perspective of module theory, and a very little
cohomology theory - but most of the basics are expounded here and
the book is more or less self-contained. Although it is principally
devoted to a connected exposition of an agreeable theory, the book
does also contain some material that has not hitherto been
published. It is designed to be used as a graduate text but also as
a handbook for established research workers in group theory.
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