Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 4: 793 - 800

DOI: https://doi.org/10.1007/s11464-010-0075-8

RESEARCH ARTICLE

Semi cover-avoiding properties of finite groups

  • Tao ZHAO ,
  • Xianhua LI
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  • School of Mathematical Science, Soochow University, Suzhou 215006, China

Received date: 08 Jan 2010

Accepted date: 20 Jun 2010

Published date: 05 Dec 2010

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Semi cover-avoiding property; supersolvable group; nilpotent group; formation

Cite this article

Tao ZHAO , Xianhua LI . Semi cover-avoiding properties of finite groups[J]. Frontiers of Mathematics in China, 2010 , 5(4) : 793 -800 . DOI: 10.1007/s11464-010-0075-8

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