A refinement on a theorem of Z. Janko

preprint2020arXivOpen access

Abstract

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

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