On the numbers of 2-weights, unipotent conjugacy classes, and irreducible Brauer 2-characters of finite classical groups

An, Jian Bei; Conder, Marston

doi:10.1090/S0002-9939-1995-1273475-4

On the numbers of $2$-weights, unipotent conjugacy classes, and irreducible Brauer $2$-characters of finite classical groups
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by Jian Bei An and Marston Conder

Proc. Amer. Math. Soc. 123 (1995), 2297-2304

DOI: https://doi.org/10.1090/S0002-9939-1995-1273475-4

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Abstract:

A closed expression for the number of unipotent conjugacy classes of a classical group G is given and Alperin’s weight conjecture is confirmed for G globally and for a symplectic or odd-dimensional orthogonal group block by block.

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