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On two classes of finite inseparable p-groups

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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.

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  1. Department of Mathematics, Marist College, Poughkeepsie, NY, 12601, USA

    Joseph Kirtland

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  1. Joseph Kirtland
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Correspondence to Joseph Kirtland.

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Kirtland, J. On two classes of finite inseparable p-groups. Acta. Math. Sin.-English Ser. 31, 1203–1214 (2015). https://doi.org/10.1007/s10114-015-3309-6

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  • DOI: https://doi.org/10.1007/s10114-015-3309-6

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