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Alperin's Main Problem of Block Theory

math.RT · 2026-05-12 · unverdicted · novelty 8.0

Proposes conjectures using nonvanishing character sets Irr^x(G) and subnormalizers Sub_G(x) to address Alperin's Main Problem, recovering McKay's conjecture as a special case and verifying the main ones for simple groups with TI Sylow p-subgroups.

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  • Alperin's Main Problem of Block Theory math.RT · 2026-05-12 · unverdicted · none · ref 2

    Proposes conjectures using nonvanishing character sets Irr^x(G) and subnormalizers Sub_G(x) to address Alperin's Main Problem, recovering McKay's conjecture as a special case and verifying the main ones for simple groups with TI Sylow p-subgroups.