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Families of solvable Frobenius subgroups in finite groups

Published online by Cambridge University Press:  22 January 2016

Paul Lescot
Paul Lescot*
Affiliation:
INSSET-Université de Picardie, 48 Rue Raspail, 02100 Saint-Quentin, France, paul.lescot@insset.u-picardie.fr
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Abstract

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We introduce the notion of abelian system on a finite group G, as a particular case of the recently defined notion of kernel system (see this Journal, September 2001). Using a famous result of Suzuki on CN-groups, we determine all finite groups with abelian systems. Except for some degenerate cases, they turn out to be special linear group of rank 2 over fields of characteristic 2 or Suzuki groups. Our ideas were heavily influenced by [1] and [8].

Keywords

20D6020E28
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 165 , March 2002 , pp. 117 - 121
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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