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Quasisimple classical groups and their complex group algebras

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Abstract

Let H be a finite quasisimple classical group, i.e., H is perfect and S:= H/Z(H) is a finite simple classical group. We prove that, excluding the open cases when S has a very exceptional Schur multiplier such as PSL3(4) or PSU4(3), H is uniquely determined by the structure of its complex group algebra. The proofs make essential use of the classification of finite simple groups as well as the results on prime power character degrees and relatively small character degrees of quasisimple classical groups.

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  1. Department of Mathematics, The University of Akron, Akron, Ohio, 44325, USA

    Hung Ngoc Nguyen

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  1. Hung Ngoc Nguyen
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Correspondence to Hung Ngoc Nguyen.

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Nguyen, H.N. Quasisimple classical groups and their complex group algebras. Isr. J. Math. 195, 973–998 (2013). https://doi.org/10.1007/s11856-012-0142-9

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  • DOI: https://doi.org/10.1007/s11856-012-0142-9

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