A note on the supersolvability of a finite group with prime index of some subgroups

2019/01/16 by Monakhov, V. S., Trofimuk, A. A.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1901.05458

Abstract

In this paper, we proved that a group G is supersoluble if and only if for any prime p∈ π(G) there exists a supersoluble subgroup of index p.

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