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On the Monomial Bπ-Character of a Finite π-Separable Group

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Abstract:

Let π be a set of primes. Isaacs established the π-theory of characters, which generalizes the theory of Brauer module characters. Based on Isaacss work, we introduce the definition of Mπ-groups, and prove that if G=NwrCp is an Mπ-group, where Cp is a cyclic group of order p and pπ, then N is an Mπ-group.

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Periodical:

Applied Mechanics and Materials (Volumes 475-476)

Pages:

1071-1074

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.475-476.1071

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Online since:

December 2013

Authors:

Qin Tao Liu, Jin Ke Hai

Keywords:

Bπ-Characters, Mπ-Group, π-Separable Groups

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] I.M. Isaacs, Primitive Characters, Normal Subgroups and-Groups. Math. Z., 1981, 177: 267-284.

DOI: 10.1007/bf01214205

Google Scholar

[2] M. Weinstein(ed), Beween Nilpotent and Solvable. Polygonal Publishing House, Passaic, New Jersey, (1982).

Google Scholar

[3] H. Nagao and Y. Tsushima, Representations of Finite Groups, Academic Press, New York, (1989).

Google Scholar

[4] C. Bessenrodt, Monomial Representations and Generalizations, J. Austral. Math. (Series A), 1990, 48: 264-280.

Google Scholar

[5] A. Hanaki and A. Hida, A Remarks on -Groups, Osaka J. Math., 1992, 29: 71-74.

Google Scholar

[6] I.M. Isaacs, Characters of -Separable Groups, J. of Algebra, 1984, 86: 98-128.

Google Scholar

[7] I.M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, (1976).

Google Scholar

[8] A. Hanaki, On Minimal Non -Groups, Arch. Math., 1993, 60: 316-320.

Google Scholar

[9] A. Hanaki, A Characterization of -Groups, Proc. Amer. Math. Soc., 1994, 121(2): 357-359.

Google Scholar

[10] B. Huppert, Character Theory of Finite Groups, Walter De Gruyter, Berlin-New York, (1998).

Google Scholar

[11] J.P. Cossey, Vertices and normal subgroups in solvable groups, J. of Algebra, 2009, 321: 2962-2969.

DOI: 10.1016/j.jalgebra.2009.03.002

Google Scholar