Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

On the norm of the derived‎ subgroups of all subgroups of a finite group

Document Type : Research Paper

Authors
1 LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, China.
2 Guangxi University
3 Chongqing University of Arts and Sciences
Abstract
In this paper‎, ‎we give a complete proof of Theorem 4.1(ii) and a new‎ ‎elementary proof of Theorem 4.1(i) in [Li and Shen‎, ‎On the‎ ‎intersection of the normalizers of the derived subgroups of all‎
‎subgroups of a finite group‎, ‎ J‎. ‎Algebra, ‎323  (2010) 1349--1357]‎.
‎In addition‎, ‎we also give a generalization of Baer's Theorem‎.
Keywords
Subjects

Volume 40, Issue 1 - Serial Number 1
February 2014
Pages 281-291

  • Receive Date 30 June 2012
  • Revise Date 28 January 2013
  • Accept Date 03 February 2013