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On pairwise mutually permutable products
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A. Ballester-Bolinches
Published/Copyright:
September 3, 2009
Abstract
Some results about products of pairwise mutually permutable subgroups are presented in this paper. It is shown that this kind of products behaves well with respect to some well-known classes of groups. For instance, we show that all factors have only simple chief factors if the product has this property. This is necessary but not sufficient: we need that the factors belong to the subclass of PST-groups to make sure that the product has only simple chief factors (see Theorems 5 and 6).
Received: 2008-03-18
Published Online: 2009-09-03
Published in Print: 2009-November
© de Gruyter 2009
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