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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A measuring argument for finite groups


Authors: Andrew Chermak and Alberto Delgado
Journal: Proc. Amer. Math. Soc. 107 (1989), 907-914
MSC: Primary 20B05
MathSciNet review: 994774
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0994774-4
PII: S 0002-9939(1989)0994774-4
Article copyright: © Copyright 1989 American Mathematical Society