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The influence of minimal subgroups on the structure of a finite group

Author(s): Yangming Li; Yanming Wang
Journal: Proc. Amer. Math. Soc. 131 (2003), 337-341.
MSC (2000): Primary 20D10, 20D20
Posted: May 22, 2002
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Abstract: We study the detailed structure of a finite group under the assumption that all minimal subgroups of the generalized Fitting subgroup of some normal subgroup of $G$ are well-suited in $G$.

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Additional Information:

Yangming Li
Affiliation: Department of Mathematics, Guangdong College of Education, Guangzhou, 510310, People's Republic of China
Email: liyangming@gdei.edu.cn

Yanming Wang
Affiliation: Department of Mathematics, Zhongshan University, Guangzhou, 510275, People's Republic of China
Email: stswym@zsu.edu.cn

DOI: 10.1090/S0002-9939-02-06547-4
PII: S 0002-9939(02)06547-4
Keywords: $\pi$-quasinormal subgroup, supersolvable group, the generalized Fitting subgroup
Received by editor(s): July 30, 2001
Received by editor(s) in revised form: September 5, 2001
Posted: May 22, 2002
Additional Notes: This project was supported by the Advanced Academic Center of ZSU and by a Grant of Education Ministry of China
Communicated by: Stephen D. Smith
Copyright of article: Copyright 2002, American Mathematical Society

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