# Factorizations in Local Subgroups of Finite Groups

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*G. Glauberman*

A co-publication of the AMS and CBMS

This monograph focuses on progress in the study of Sylow subgroups and
their influence on the structure of the group as a whole. This research has
been applied to other areas of finite group theory, including classification of
simple groups, but is also of independent interest and does not require
extensive background or long proofs.

In 1969, the author gave a report on this topic which appeared in the book

This is not an expository work. This work should be accessible to advanced
graduate students. In particular, a semester's study in finite group theory
beyond the M.A. or M.S. degree should be adequate background, e.g., Chapters
1–3 and 5–7 of Gorenstein's

#### Readership

#### Table of Contents

# Table of Contents

## Factorizations in Local Subgroups of Finite Groups

- Cover Cover11 free
- Title iii4
- Copyright ii3 free
- Contents v6 free
- Preface vii8 free
- Preface to Second Printing x11 free
- Chapter I. Reductions to Local Subgroups and Sections 112 free
- Chapter II. Factorizations for p = 2 2738
- Chapter III. The General Situation 5263
- Appendix A1. Proof of Theorem A 6071
- Appendix A2. Corrections and Additions to GL 6879
- Appendix A3 6980
- Bibliography 7182
- References added in Second Printing 7485 free
- Index 7586
- Back Cover Back Cover188