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Nilpotent injectors in symmetric groups

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Abstract

AnN-Injector in an arbitrary finite groupG is defined as a maximal nilpotent subgroup ofG, containing a subgroupA ofG of maximal order satisfying class(A)>=2. Among other results theN-Injectors of Sym(n) are determined and shown to consist of a unique conjugacy class of subgroups of Sym(n).

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Authors and Affiliations

  1. Department of Pure Mathematics, Tel Aviv University, Ramat Aviv, Israel

    Arie Bialostocki

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  1. Arie Bialostocki
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Bialostocki, A. Nilpotent injectors in symmetric groups. Israel J. Math. 41, 261–273 (1982). https://doi.org/10.1007/BF02771725

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  • DOI: https://doi.org/10.1007/BF02771725

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