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Decomposition numbers of unipotent blocks of \(\text{Sp}_6(2^a)\) in odd characteristics - MaRDI portal

Decomposition numbers of unipotent blocks of \(\text{Sp}_6(2^a)\) in odd characteristics (Q1977565)

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scientific article; zbMATH DE number 1448642
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English
Decomposition numbers of unipotent blocks of \(\text{Sp}_6(2^a)\) in odd characteristics
scientific article; zbMATH DE number 1448642

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    Decomposition numbers of unipotent blocks of \(\text{Sp}_6(2^a)\) in odd characteristics (English)
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    22 November 2000
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    Let \(G\) be the finite symplectic group \(\text{Sp}_6(q)\), where \(q=2^a\) is a power of \(2\), and let \(\ell\) be an odd prime dividing \(|G|\). With the aid of the computer package CHEVIE, the author determines the \(\ell\)-decomposition numbers of the unipotent blocks of \(G\), up to three parameters in the decomposition matrix of one block.
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    finite groups of Lie type
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    decomposition numbers
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    finite symplectic groups
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    unipotent blocks
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    decomposition matrices
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