A note on the number of irreducible characters in a $p$-block with normal defect group
Masafumi Murai
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 59, Number 10
(1983), 488-489.
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20C20
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1195515323
Mathematical Reviews number (MathSciNet): MR732594
Zentralblatt MATH identifier: 0544.20009
Digital Object Identifier: doi:10.3792/pjaa.59.488
References
[1] R. Brauer: Number theoretical investigations on groups of finite order. Proc. Internat. Symp. Algebraic Number Theory, Japan, pp. 55-62 (1955).
Mathematical Reviews (MathSciNet): MR83490
Zentralblatt MATH: 0073.01403
[2] W. Feit: The Representation Theory of Finite Groups. North-Holland (1982).
Mathematical Reviews (MathSciNet): MR661045
Zentralblatt MATH: 0493.20007
[3] P. X. Gallagher: Group characters and normal Hall subgroups. Nagoya Math. J., 21, 223-230 (1962).
Mathematical Reviews (MathSciNet): MR142671
Zentralblatt MATH: 0114.25603
Project Euclid: euclid.nmj/1118801049
[4] P. X. Gallagher: The number of conjugacy classes in a finite group. Math. Z., 118, 175-179 (1970).
Mathematical Reviews (MathSciNet): MR276318
Zentralblatt MATH: 0221.20006
Digital Object Identifier: doi:10.1007/BF01113339
[5] M. Murai: A note on the number of irreducible characters in a p-block of a finite group (to appear in Osaka J. Math., 21, no. 2 (1984)).
Mathematical Reviews (MathSciNet): MR752469
Zentralblatt MATH: 0538.20007
Project Euclid: euclid.ojm/1200777117
Proceedings of the Japan Academy, Series A, Mathematical Sciences