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Influence of certain permutable subgroups on finite smooth groups
Journal article   Peer reviewed

Influence of certain permutable subgroups on finite smooth groups

A. M. Elkholy and A. A. Heliel
Acta mathematica Sinica. English series, Vol.27(8), pp.1547-1556
01/08/2011
DOI: https://doi.org/10.1007/s10114-011-9047-5

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A subgroup H of a finite group G is said to be permutable in G if it permutes with every subgroup of G. In this paper, we determine the finite groups which have a permutable subgroup of prime order and whose maximal subgroups are totally (generalized) smooth groups.

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