Hypersolvable groups

Arikan A., Meierfrankenfeld U.

COMMUNICATIONS IN ALGEBRA, cilt.34, sa.10, ss.3643-3657, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 10
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1080/00927870600860742
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3643-3657
  • Gazi Üniversitesi Adresli: Hayır

Özet

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.