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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Inseparable finite solvable groups


Author: Homer Bechtell
Journal: Trans. Amer. Math. Soc. 216 (1976), 47-60
MSC: Primary 20D40
DOI: https://doi.org/10.1090/S0002-9947-1976-0427469-1
MathSciNet review: 0427469
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Abstract: A finite group is called inseparable if the only proper normal subgroup over which it splits is the identity element. The E-residual, for the formation E of groups in which all Sylow subgroups are elementary abelian, appears to control the action of splitting. In this article, inseparable solvable groups are identified that have a metacyclic Fitting subgroup and the E-residual a p-group.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0427469-1
Keywords: Finite solvable groups, inseparable groups, p-groups
Article copyright: © Copyright 1976 American Mathematical Society