Groups with finitely many normalizers of non-subnormal subgroups

  • Fausto De Mari Dipartimento di Matematica e Applicazioni - Università di Napoli Federico II
  • Francesco De Giovanni Dipartimento di Matematica e Applicazioni - Università di Napoli Federico II
Keywords: normalizer subgroup, non-subnormal subgroup,

Abstract

It is proved that a group G has finitely many normalizers of non-subnormal subgroups if and only if each subgroup of G either is subnormal or has finitely many conjugates; groups with this latter property have been completely described in [8]. Moreover, groups with finitely many normalizers of infinite non-subnormal subgroups are described.
Published
2007-12-05
Section
Articoli