Finite groups : an introduction

著者

書誌事項

Finite groups : an introduction

Jean-Pierre Serre ; with assistance in translation provided by Garving K. Luli, Pin Yu

International Press, 2022

2nd rev. ed

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注記

Includes bibliographical references (p. 163-168) and index

内容説明・目次

内容説明

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 GLn, 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.

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