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Bulletin of the Iranian Mathematical Society
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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

Article 17, Volume 40, Issue 1, February 2014, Page 281-291  XML PDF (118 K)
Document Type: Research Paper
Authors
Zhencai Shen1; Shirong Li2; Wujie Shi 3
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.
Keywords
Derived subgroup; solvable group; nilpotency class; Fitting length
Main Subjects
20-XX Group theory and generalizations
Statistics
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