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On intersections of nilpotent subgroups in finite symmetric and alternating groups.
- Source :
- Proceedings of the Steklov Institute of Mathematics; Jun2014 Supplement, Vol. 285 Issue 1, p203-208, 6p
- Publication Year :
- 2014
-
Abstract
- It is proved that, in a nonsolvable finite symmetric or alternating group except for the group S, for any pair of nilpotent subgroups there exists a subgroup conjugate to one of them such that its intersection with the other subgroup is trivial. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00815438
- Volume :
- 285
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Proceedings of the Steklov Institute of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 96729783
- Full Text :
- https://doi.org/10.1134/S0081543814050228