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Article overview
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Subgroup s-commutativity degree of finite groups | | Daniele Ettore Otera
; Francesco G. Russo
; | | Date: |
11 Sep 2010 | | Abstract: | In a recent contribution, Tarnauceanu has introduced the subgroup
commutativity degree of a finite group, adapting to the context of the lattice
theory some ideas and some techniques, which were known by the studies of
Lescot on the commutativity degree. This new notion allows us to detect how a
group is far from having all subgroups which are permutable. In the present
paper we investigate a probability, which generalizes the subgroup
commutativity degree, and find some numerical restrictions on groups which are
rich in S-permutable subgroups in the sense of Kegel. | | Source: | arXiv, 1009.2171 | | Services: | Forum | Review | PDF | Favorites | |
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