On products of cyclic and non-abelian finite p-groups

Brendan McCann

Research output: Contribution to journalArticlepeer-review

Abstract

For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a non-abelian subgroup whose class does not exceedp2 in most cases. Bounds for the derived length of such groups are also presented.

Original languageEnglish
Pages (from-to)5-37
Number of pages33
JournalAdvances in Group Theory and Applications
Volume9
DOIs
Publication statusPublished - 2020

Keywords

  • Factorised group
  • Finite p-group
  • Product of groups

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