A CHARACTERIZATION OF M_π-GROUPS 被引量：1

A CHARACTERIZATION OF M_π-GROUPS

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摘要 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. 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.

作者海进科李正兴

机构地区 School of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1071-1075,共5页 数学物理学报（B辑英文版）

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

关键词 Bπ＇-characters Mπ-groups π＇-good pairs Bπ＇-characters Mπ-groups π＇-good pairs

分类号 O152 [理学—基础数学]

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参考文献13

1Isaacs I M. Primitive characters, normal subgroups and M-groups. Math Z, 1981, 177:267 284.
2Isaacs I M. Character Theory of Finite Groups. New York: Academic Press, 1976.
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4Okuyama T. Module correspondence in finite groups. Hokkaido Math J, 1981, 10:299-318.
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9Hanaki A, Hida A. A remarks on Mp-groups. Osaka J Math, 1992, 29:71-74.
10Hanaki A. On minimal non Mp-groups. Arch Math, 1993, 60:316-320.

同被引文献2

1HAI JinKe~(1+) & ZHU YiXin~2 1 School of Mathematical Sciences, Qingdao University, Qingdao 266071, China,2 School of Mathematical Sciences, Capital Normal University, Beijing 100037, China.On the number of B_(π')-characters in a nilpotent π-block[J].Science China Mathematics,2008,51(1):1-4. 被引量：5
2海进科,李正兴.π-Brauer特征标的一些群理论性质[J].吉林大学学报（理学版）,2012,50(4):717-718. 被引量：1

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Acta Mathematica Scientia

2013年第4期

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A CHARACTERIZATION OF M_π-GROUPS 被引量：1

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