A local strategy to decide the Alperin and Dade conjectures

DOI10.1006/jabr.1997.7410zbMath0912.20011OpenAlexW2045884980WikidataQ123146310 ScholiaQ123146310MaRDI QIDQ1270405

E. A. O'Brien, Jianbei An

Publication date: 21 March 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7410

zbMATH Keywords

maximal subgroupsfinite simple groupsblocksirreducible Brauer charactersConway groupsDade conjectureAlperin conjectureradical chains of \(p\)-subgroups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of sporadic groups (20C34)

Related Items

Conjectures on the character degrees of the Harada-Norton simple group \(HN\). ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J₄ ⋮ The Alperin Weight Conjecture and Uno's Conjecture for the Baby Monster B, _p Odd ⋮ A reduction theorem for Dade's projective conjecture ⋮ THE 2-LOCAL RANKS OF LARGE SPORADIC GROUPS ⋮ The radical \(2\)-subgroups of the sporadic simple groups \(J_4\), \(Co_2\) and \(Th\) ⋮ The AWC-goodness and essential rank of sporadic simple groups. ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′₂₄ ⋮ COMPUTING LOCAL RANKS IN SPORADIC GROUPS ⋮ THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi₂₃ ⋮ The 2-Local Ranks of Some Sporadic Groups

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