A criterion for the existence of a solvable π-Hall subgroup in a finite group

Alexander A. Buturlakin, Antonina P. Khramova

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a finite group and let π be a set of primes. We prove that G has a solvable π-Hall subgroup if and only if G has a {p, q}-Hall subgroup for every pair p, q ∈ π.

Original languageEnglish
Pages (from-to)1305-1313
Number of pages9
JournalCommunications in Algebra
Volume48
Issue number3
DOIs
Publication statusPublished - 3 Mar 2020

Keywords

  • Finite group
  • Hall subgroup
  • solvable group

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