On two classes of finite inseparable p-groups

Authors
Kirtland, Joseph
Citation
Kirtland, Joseph, On two classes of finite inseparable p-groups, Acta mathematica Sinica. English series (Print) , 31(7), 2015, pp. 1203-1214
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
7
Year of publication
2015
Pages
1203 - 1214
Database
ACNP
SICI code
Abstract
A finite group is inseparable, it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates two classes of finite inseparable p-groups and, for p . 3, establishes a necessary and sufficient condition for inseparability.