Establishes the strong subnormalizer conjecture for p-solvable groups with odd p under stated conditions and obtains new Glauberman correspondence results.
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3 Pith papers cite this work. Polarity classification is still indexing.
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math.RT 3years
2026 3verdicts
UNVERDICTED 3roles
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Proposes conjectures for Alperin's problem using nonvanishing character sets Irr^x(G) and subnormalizers Sub_G(x), with verifications in groups having TI Sylow p-subgroups.
Conjectures propose that the sets Irr^x(G) and subgroups Sub_G(x) are the natural objects attached to p-elements x for studying local character values in block theory.
citing papers explorer
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Subnormalizers and character correspondences in $p$-solvable groups
Establishes the strong subnormalizer conjecture for p-solvable groups with odd p under stated conditions and obtains new Glauberman correspondence results.
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Alperin's Main Problem of Block Theory
Proposes conjectures for Alperin's problem using nonvanishing character sets Irr^x(G) and subnormalizers Sub_G(x), with verifications in groups having TI Sylow p-subgroups.
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The Main Problem of Block Theory: Picky Elements and Subnormalizers
Conjectures propose that the sets Irr^x(G) and subgroups Sub_G(x) are the natural objects attached to p-elements x for studying local character values in block theory.