Semi cover-avoiding properties of finite groups

doi:10.1007/s11464-010-0075-8

Front Math Chin

2010, Vol. 5

Issue (4) : 793-800 https://doi.org/10.1007/s11464-010-0075-8

RESEARCH ARTICLE

Semi cover-avoiding properties of finite groups

Tao ZHAO, Xianhua LI(

)

School of Mathematical Science, Soochow University, Suzhou 215006, China

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Abstract

In this paper, we characterize the nilpotency and supersolvability of a finite group G by assuming some subgroups of prime power order have the semi cover-avoiding property in G. Some earlier results are generalized.

Keywords Semi cover-avoiding property supersolvable group nilpotent group formation

Corresponding Author(s): LI Xianhua,Email:xhli@suda.edu.cn

Issue Date: 05 December 2010

Cite this article:

Tao ZHAO,Xianhua LI. Semi cover-avoiding properties of finite groups[J]. Front Math Chin, 2010, 5(4): 793-800.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-010-0075-8
https://academic.hep.com.cn/fmc/EN/Y2010/V5/I4/793

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