Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (4): 1071-1075.doi: 10.1016/S0252-9602(13)60064-8

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A CHARACTERIZATION OF Mπ-GROUPS

 HAI Jin-Ke, LI Zheng-Xing   

  1. School of Mathematics, Qingdao University, Qingdao 266071, China
  • Received:2012-05-04 Revised:2012-10-13 Online:2013-07-20 Published:2013-07-20
  • Supported by:

    Supported by NSF of China (11171169; 11071155) and the B.S. Foundation of Shandong Province (BS2012SF003).

Abstract:

Let π be a set of primes. Isaacs established the π-theory of characters, which generalizes the theory of Brauer modular characters. Motivated by Isaacs´s work, we introduce the definition of Mπ-groups and provide a characterization of Mπ-groups.

Key words: Bπ -characters, Mπ-groups, π′-good pairs

CLC Number: 

  • 20C15
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