Simple proofs of some theorems in block theory of finite groups.

zbMath1269.20008MaRDI QIDQ1951953

Masafumi Murai

Publication date: 24 May 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1355926879

zbMATH Keywords

finite groupsdefect groupsnumbers of irreducible charactersblocksGlauberman correspondence

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (2)

Defect zero characters and relative defect zero characters. ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture.

Cites Work

• Block extensions
• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• Block induction, normal subgroups and characters of height zero
• On Brauer's \(k(B)\)-problem for blocks of \(p\)-solvable groups with non-Abelian defect groups.
• The solution of the \(k(GV)\)-problem.
• Actions and characters in blocks.
• The number of conjugacy classes in a finite group
• On characters with minimal defects.
• Local Structure, Vertices and Alperin's Conjecture
• Brauer correspondence for covering blocks of finite groups
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