Characterizations of minimal non-solvable Fitting p-groups

ARIKAN A.

JOURNAL OF GROUP THEORY, cilt.11, sa.1, ss.95-103, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1515/jgt.2008.006
  • Dergi Adı: JOURNAL OF GROUP THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.95-103
  • Gazi Üniversitesi Adresli: Evet

Özet

Let G be a minimal non-solvable Fitting p-group. Our main results are that G has uncountbly many subgroups and that (G) over bar has a homomorphic image a with a proper subgroup (X) over bar such that C-(G) over bar((X) over bar) = 1. We also define the solvabilizer of a solvable group and consider the minimal non-solvability problem in another context.