Groups with strongly self-centralizing 3-centralizers

Marcel Herzog

doi:10.1007/BF02771465

Groups with strongly self-centralizing 3-centralizers

Marcel Herzog

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a finite group with a subgroup M which is the centralizer in G of each of its nonidentity elements and let 3 divide the order of M. Such groups are classified under the assumption that either q=[N_G (M):M]=2^s;s≧0 and s ≠ 3 or q<8.

Original language	English
Pages (from-to)	507-510
Number of pages	4
Journal	Israel Journal of Mathematics
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/BF02771465
State	Published - Feb 1971

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Groups with strongly self-centralizing 3-centralizers

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