The alperin and dade conjectures for the simple mathieu groups

DOI10.1080/00927879508825370zbMath0834.20016OpenAlexW1966497726MaRDI QIDQ4843189

Jianbei An, Marston D. E. Conder

Publication date: 18 March 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825370

zbMATH Keywords

heightfinite groupordinary irreducible charactersMathieu groupslocal subgroupsnumber of conjugacy classesDade conjectureAlperin conjecture\(p\)-blocknumber of irreducible Brauer charactersdefect zero character

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Modular representations and characters (20C20) Representations of sporadic groups (20C34)

Related Items

The Alperin and Dade conjectures for the simple Held group, Endomorphism rings of permutation modules., \textit{ZJ}-controlled blocks of quasisimple groups for odd primes, 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., Radical 2-subgroups of the Monster and the Baby Monster., On fixed point sets and Lefschetz modules for sporadic simple groups., The Alperin and Dade conjectures for the simple Conway's third group, A local strategy to decide the Alperin and Dade conjectures, The 2-Local Ranks of Some Sporadic Groups, The radical 2-subgroups of some sporadic simple groups, The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

Uses Software

• Cayley

Cites Work

• Weights for symmetric and general linear groups
• The modular characters of the Mathieu groups
• Counting characters in blocks. I
• Some Remarks on a Conjecture of Alperin
• Unnamed Item