On Fitting p-groups with all proper subgroups satisfying an outer commutator law


ARIKAN A. , ARIKAN A.

JOURNAL OF ALGEBRA, cilt.352, sa.1, ss.341-346, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 352 Konu: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.jalgebra.2011.11.017
  • Dergi Adı: JOURNAL OF ALGEBRA
  • Sayfa Sayıları: ss.341-346

Özet

In this note we consider certain Fitting p-groups in which every proper subgroup satisfies an outer commutator identity and obtained some conditions for such groups to be imperfect. We also give an application of the main theorem to obtain an idea of the abundance of the groups under consideration. (C) 2011 Elsevier Inc. All rights reserved.