Groups in which every subgroup is almost pronormal

Authors

  • Francesco de Giovanni
  • Alessio Russo
  • Giovanni Vincenzi

DOI:

https://doi.org/10.1285/i15900932v28n1p95

Keywords:

pronormal subgroup, almost normal subgroup

Abstract

A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalently if its normalizer has finite index in the group. A famous theorem by B.H. Neumann states that all subgroups of a group G are almost normal if and only if the centre Z(G) has finite index in G. Here the structure of groups in which every subgroup is pronormal in a subgroup of finite index is investigated.

Downloads

Published

01-01-2008

Issue

Volume 28, Issue 1 (2008)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode