J4 ›› 2012, Vol. 47 ›› Issue (12): 72-77.

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On some local properties of finite groups

BAO Hong-wei1, QIU Ting-ting2, LIANG Liang2   

  1. 1. Department of Mathematics and Physics, Bengbu College, Bengbu 233030, Anhui, China;
    2.  School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Received:2011-12-31 Online:2012-12-20 Published:2012-12-14

Abstract:

The structue properties of finite groups are investigated by using M-permutability and semi coveravoiding property of primary subgroups. Some new results about supersolvable groups and saturated formation are obtained.

Key words: primary subgroup; M-permutable subgroup; SCAP subgroup; supersolvable group; semi cover-avoiding property

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