Hypersolvable groups

Arikan A., Meierfrankenfeld U.

COMMUNICATIONS IN ALGEBRA, vol.34, no.10, pp.3643-3657, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 10
  • Publication Date: 2006
  • Doi Number: 10.1080/00927870600860742
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3643-3657
  • Gazi University Affiliated: No

Abstract

Call a group G hypersolvable if it has an ascending series with G/C-G (A) solvable for each factor A of the series. In this article we establish some basic facts about hypersolvable groups. We also prove that if G is a perfect Fitting p-group such that every proper subgroup is contained in a proper normal subgroup, then G has a proper non-hypersolvable subgroup.