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.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.RT 1years
2026 1verdicts
UNVERDICTED 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Alperin's Main Problem of Block Theory
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.