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On two classes of finite inseparable p-groups.

Authors :
Kirtland, Joseph
Source :
Acta Mathematica Sinica. Jul2015, Vol. 31 Issue 7, p1203-1214. 12p.
Publication Year :
2015

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14398516
Volume :
31
Issue :
7
Database :
Academic Search Index
Journal :
Acta Mathematica Sinica
Publication Type :
Academic Journal
Accession number :
103432320
Full Text :
https://doi.org/10.1007/s10114-015-3309-6