On the number of irreducible modular representations of a finite group

Reiner, Irving

doi:10.1090/S0002-9939-1964-0168665-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the number of irreducible modular representations of a finite group
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Proc. Amer. Math. Soc. 15 (1964), 810-812 Request permission

References

S. D. Berman, $p$-adic ring of characters, Dokl. Akad. Nauk SSSR (N.S.) 106 (1956), 583–586 (Russian). MR 0077539
S. D. Berman, The number of irreducible representations of a finite group over an arbitrary field, Dokl. Akad. Nauk SSSR (N.S.) 106 (1956), 767–769 (Russian). MR 0078360
R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556–590. MR 4042, DOI 10.2307/1968918
Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979