Groups with strongly self-centralizing 3-centralizers

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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]=2s;s≧0 and s ≠ 3 or q<8.

Original languageEnglish
Pages (from-to)507-510
Number of pages4
JournalIsrael Journal of Mathematics
Issue number4
StatePublished - Feb 1971


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