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Comonolithic subnormal subgroups generating a finite group

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Abstract

Every finite group is generated by minimal sets of subnormal comonolithic subgroups all this sets having the same number of members and whose perfect subgroups being the same for every such a set. The proof of this result depends on some well known results about subnormal subgroups, mainly due to H. Wielandt.

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Authors and Affiliations

  1. Departmento de Matematicas, Universidad de Zaragoza, 50009, Zaragoza, Spain

    Miguel Torres

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  1. Miguel Torres
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Torres, M. Comonolithic subnormal subgroups generating a finite group. Rend. Circ. Mat. Palermo 42, 362–368 (1993). https://doi.org/10.1007/BF02844627

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  • DOI: https://doi.org/10.1007/BF02844627

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