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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Inseparable finite solvable groups. II


Author: Homer Bechtell
Journal: Proc. Amer. Math. Soc. 64 (1977), 25-29
MSC: Primary 20D10
MathSciNet review: 0498835
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Abstract: A finite group is called inseparable if the only normal subgroups over which it splits are the group itself and the trivial subgroup. Let E be the formation of finite solvable groups with elementary abelian Sylow subgroups. This note establishes the fact that, up to isomorphism, there is exactly one nonnilpotent inseparable solvable group in which the E-residual is a metacyclic p-group.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0498835-X
PII: S 0002-9939(1977)0498835-X
Keywords: Finite solvable groups, inseparable groups
Article copyright: © Copyright 1977 American Mathematical Society