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A refinement on a theorem of Z. Janko

2020/07/20 by Qiangwei Song, Song, Qiangwei, Lijian An +1
Engineering · Mathematics · #Finite Group Theory Research #Rings, Modules, and Algebras #graph theory and CDMA systems #math.GR #msc:20D15

paper · pdf · doi:10.48550/arxiv.2007.09839

arxiv created 2020/07/20 · arxiv updated 2020/07/21

Abstract

We say that a subgroup H is isolated in a group G if for each x∈ G we have either x∈ H or ⟨ x⟩ ∩ H=1. Z. Janko, in his paper [J. Algebra, 465(2016), 41--61], determined certain classes of finite nonabelian p-groups which possess some isolated subgroups. In this note, a theorem of his paper is refined.

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