Metabelian thin Beauville p-groups

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Comma N. G., Gül Erdem Ş.

JOURNAL OF GROUP THEORY, vol.21, no.2, pp.351-363, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1515/jgth-2017-0040
  • Journal Name: JOURNAL OF GROUP THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.351-363
  • TED University Affiliated: No

Abstract

A non-cyclic finite p-group G is said to be thin if every normal subgroup of G lies between two consecutive terms of the lower central series and vertical bar gamma(i)(G) : gamma(i+1) (G)vertical bar <= p(2) for all i >= 1. In this paper, we determine Beauville structures in metabelian thin p-groups.