Shen, Z., Li, S., Shi, W. (2014). On the norm of the derived subgroups of all subgroups of a finite group. Bulletin of the Iranian Mathematical Society, 40(1), 281-291.
Zhencai Shen; Shirong Li; Wujie Shi. "On the norm of the derived subgroups of all subgroups of a finite group". Bulletin of the Iranian Mathematical Society, 40, 1, 2014, 281-291.
Shen, Z., Li, S., Shi, W. (2014). 'On the norm of the derived subgroups of all subgroups of a finite group', Bulletin of the Iranian Mathematical Society, 40(1), pp. 281-291.
Shen, Z., Li, S., Shi, W. On the norm of the derived subgroups of all subgroups of a finite group. Bulletin of the Iranian Mathematical Society, 2014; 40(1): 281-291.
On the norm of the derived subgroups of all subgroups of a finite group
1LMAM and School of Mathematical Sciences, Peking
University,
Beijing, 100871, China.
2Guangxi University
3Chongqing University of Arts and Sciences
Receive Date: 30 June 2012,
Revise Date: 28 January 2013,
Accept Date: 03 February 2013
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.
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