Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A measuring argument for finite groups
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by Andrew Chermak and Alberto Delgado
Proc. Amer. Math. Soc. 107 (1989), 907-914
DOI: https://doi.org/10.1090/S0002-9939-1989-0994774-4

Abstract:

We call attention to a simple measuring argument for finite groups. Direct applications of this argument lead to the construction of certain new characteristic subgroups of finite $p$-groups as well as an easy proof of a generalization, due to Timmesfeld, of the Thompson replacement lemma. Some applications to finite simple groups are also given.
References
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 107 (1989), 907-914
  • MSC: Primary 20B05
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0994774-4
  • MathSciNet review: 994774