The Alperin and Dade conjectures for the simple Conway's third group (Q1806717)
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scientific article; zbMATH DE number 1358184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Alperin and Dade conjectures for the simple Conway's third group |
scientific article; zbMATH DE number 1358184 |
Statements
The Alperin and Dade conjectures for the simple Conway's third group (English)
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18 June 2000
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The author verifies the conjectures of \textit{J. L. Alperin} [Proc. Symp. Pure Math. 47, 369-379 (1987; Zbl 0657.20013)] and \textit{E. C. Dade} [Invent. Math. 109, No. 1, 187-210 (1992; Zbl 0780.20006)] for the simple Conway group \(Co_3\). His computations of radical subgroups, radical chains, normalizers and character degrees make use of the computer algebra system CAYLEY.
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Alperin's conjecture
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Dade's conjecture
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blocks
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defect groups
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simple Conway group \(Co_3\)
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radical subgroups
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radical chains
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character degrees
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CAYLEY
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