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Normalizer conditions and group-theoretical properties

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Summary

Gεe, i. e.G has propertye. Gεe 2, i. e.G is an extension of ane-group by ane-group. Clearly,Gεe 2 does not implyGεe. “Mostly” one can show, that ifGεe 2 butG∉e, theG contains self-normalizinge-subgroups. Hence, in order to concludeGεe ifGεe 2, one will have to impose conditions on the self-normalizinge-subgroups ofG.

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Literature

  1. Baer Reinhold,Local and Global Hypercentrality and Supersolubility II, Indagationes Math. 28, No. 2, 1966, pp. 11–126.

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Authors and Affiliations

  1. Coral Gables, U.S.A.

    Hermann Simon

Authors
  1. Hermann Simon
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Introduced by B. Pettineo.

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Simon, H. Normalizer conditions and group-theoretical properties. Rend. Circ. Mat. Palermo 20, 163–170 (1971). https://doi.org/10.1007/BF02844170

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  • DOI: https://doi.org/10.1007/BF02844170

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