The influence of p-regular class sizes on normal subgroups
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
The influence of p-regular class sizes on normal subgroupsDate
2013Publisher
Walter de GruyterISSN
1433-5883Type
info:eu-repo/semantics/articlePublisher version
http://www.degruyter.com/view/j/jgt.2013.16.issue-4/jgt-2013-0002/jgt-2013-0002.xmlVersion
info:eu-repo/semantics/sumittedVersionAbstract
Let G be a finite group and N be a normal subgroup of G and suppose
that the p-regular elements of N have exactly two G-conjugacy class sizes.
It is shown that N is solvable and that if H is a p-complement of N, ... [+]
Let G be a finite group and N be a normal subgroup of G and suppose
that the p-regular elements of N have exactly two G-conjugacy class sizes.
It is shown that N is solvable and that if H is a p-complement of N, then
either H is abelian or H is the product of an r-group for some prime r 6= p
and a central subgroup of G. [-]
Is part of
Journal of Group Theory, vol. 16, n. 4Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [770]