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An intertwining number theorem for integral representations and applications. (English) Zbl 0205.05801


MSC:

16S34 Group rings
20C10 Integral representations of finite groups
16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
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References:

[1] Curtis, C. W., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Interscience Publishers 1962. · Zbl 0131.25601
[2] ?: On centralizer rings and characters of representations of finite groups. Math. Z.107, 402-406 (1968). · Zbl 0185.06801 · doi:10.1007/BF01110070
[3] Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967. · Zbl 0217.07201
[4] Keller, G.: Concerning the degree of irreducible characters. Math. Z.107, 221-224 (1968). · Zbl 0186.32801 · doi:10.1007/BF01110260
[5] Wielandt, H.: Finite permutation groups. New York: Academic Press 1968. · Zbl 0138.02501
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