Finite Groups Close to Frobenius Groups

X. Wei, A. Kh Zhurtov, D. V. Lytkina, V. D. Mazurov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as an element of the quotient group G/F, consists only of p-elements. The particular example of such a group is a Frobenius group, given that F is the Frobenius kernel of G, and also the Camina group.

Original languageEnglish
Pages (from-to)805-809
Number of pages5
JournalSiberian Mathematical Journal
Volume60
Issue number5
DOIs
Publication statusPublished - 1 Sep 2019

Keywords

  • Camina group
  • complement
  • Frobenius group
  • generalized Frobenius group
  • kernel

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