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On pairwise mutually permutable products.
- Source :
-
Forum Mathematicum . 2009, Vol. 21 Issue 6, p1081-1090. 10p. - Publication Year :
- 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). [ABSTRACT FROM AUTHOR]
- Subjects :
- *PERMUTATIONS
*SUBGROUP growth
*COMBINATORICS
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 21
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 47602291
- Full Text :
- https://doi.org/10.1515/FORUM.2009.054