Scopes reduction and Morita equivalence classes of blocks in finite classical groups II

G. Hiss; R. Kessar

doi:10.1016/j.jalgebra.2004.08.030

Scopes reduction and Morita equivalence classes of blocks in finite classical groups II

G. Hiss, R. Kessar

Pure Mathematics

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Abstract

We extend our work of [J. Algebra 230 (2000) 378–423] on unipotent blocks of classical groups to blocks of orthogonal groups containing characters labelled by degenerate symbols. We also show that, for classical groups in the linear prime case, there are only finitely many Morita types of unipotent blocks with a given defect group.

Original language	English
Pages (from-to)	522-563
Number of pages	42
Journal	Journal of Algebra
Volume	283
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2004.08.030
Publication status	Published - 15 Jan 2005

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abstract = "We extend our work of [J. Algebra 230 (2000) 378–423] on unipotent blocks of classical groups to blocks of orthogonal groups containing characters labelled by degenerate symbols. We also show that, for classical groups in the linear prime case, there are only finitely many Morita types of unipotent blocks with a given defect group.",

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AB - We extend our work of [J. Algebra 230 (2000) 378–423] on unipotent blocks of classical groups to blocks of orthogonal groups containing characters labelled by degenerate symbols. We also show that, for classical groups in the linear prime case, there are only finitely many Morita types of unipotent blocks with a given defect group.

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JO - Journal of Algebra

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Scopes reduction and Morita equivalence classes of blocks in finite classical groups II

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