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When is a $p$ -block a $q$ -block?

Author(s): Gabriel Navarro; Wolfgang Willems
Journal: Proc. Amer. Math. Soc. 125 (1997), 1589-1591.
MSC (1991): Primary 20C20
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Abstract: Let $p$ and $q$ be distinct prime numbers and let $G$ be a finite group. If $B_{p}$ is a $p$ -block of $G$ and $B_{q}$ is a $q$ -block, we study when the set of ordinary irreducible characters in the blocks $B_{p}$ and $B_{q}$ coincide.

References:

1.: R. Brauer, Notes on Representations of Finite Groups, J. London Math. Soc. 13 (1976), 162-166. MR 53:3091
2.: H. Nagao, Y. Tsushima, Representations of Finite Groups, Academic Press, Boston, 1988. MR 90h:20008


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