Finite Groups: An Introduction - Hardcover

Jean-Pierre Serre (Collège De France, Paris)

Hardcover

ISBN 10: 1571464107 ISBN 13: 9781571464101

Publisher: International Press of Boston, Inc., 2022

Synopsis

Finite group theory is a topic remarkable for the simplicity of its statements and the difficulty of their proofs. It is used in an essential way in several branches of mathematics — for instance, in number theory.

This book gives an introduction to the subject; it is meant for graduate students, and for mathematicians interested in the connection between group theory and other mathematical topics.

There are ten chapters: Preliminaries, Sylow theory, Solvable groups and nilpotent groups, Group extensions, Hall subgroups, Frobenius groups, Transfer, Characters, Finite subgroups of GL_n, and Small Groups.

Each chapter is followed by a series of exercises.

The present edition incorporates the correction of numerous errors found in the first revised edition of 2016. The author and publisher are grateful to Professor Bjorn Poonen of M.I.T. and his associates, and to J. Sangroniz, for detecting and noting them.

Edition details

• Publisher: International Press of Boston, Inc.
• Publication date: 2022
• Language: English
• ISBN 10: 1571464107
• ISBN 13: 9781571464101
• Binding: Hardcover
• Edition number: 2
• Number of pages: 192