Normal subgroups and p-regular G-class sizes.
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1016/j.jalgebra.2011.04.004 |
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Title
Normal subgroups and p-regular G-class sizes.Date
2011-06Publisher
© 2011 ElsevierISSN
0021-8693Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S002186931100189XVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then ... [+]
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then either H is abelian or H is a product of a q-group for some prime q≠p and a central subgroup of G. [-]
Is part of
Journal of Algebra (June 2011), vol. 336, no. 1, 236-241Rights
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info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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- MAT_Articles [761]