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Fischer Matrices of the Affine Groups

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Southeast Asian Bulletin of Mathematics

Abstract

Let GL n (q) be the general linear group and let H n ; V n (q) · GL n (q) denote the affine group of V n (q). In [1] and [4], we determined Fischer matrices for the conjugacy classes of GL n (q) where n = 2, 3, 4 and we obtained the number of conjugacy classes and irreducible characters of H2, H3, and H4. In this paper, we find the Fischer matrices of the affine group H n for arbitrary n.

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Authors and Affiliations

  1. Department of Mathematics, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran

    A. Iranmanesh

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  1. A. Iranmanesh
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Correspondence to A. Iranmanesh.

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AMS Subject Classification Primary 20C15 Secondary 20C33

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Cite this article

Iranmanesh, A. Fischer Matrices of the Affine Groups. SEA bull. math. 25, 121–128 (2001). https://doi.org/10.1007/s10012-001-0121-2

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  • DOI: https://doi.org/10.1007/s10012-001-0121-2

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