Trivial source modules in blocks with cyclic defect groups.

DOI10.1007/S00209-009-0508-9zbMath1211.20014OpenAlexW1971359577MaRDI QIDQ966452

Naoko Kunugi, Shigeo Koshitani

Publication date: 23 April 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0508-9

zbMATH Keywords

defect groupsblocksBrauer correspondentsBrauer treestrivial source modulesexceptional characters

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (7)

Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups. ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Scott modules in finite groups with cyclic Sylow \(p\)-subgroups. ⋮ Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\). ⋮ Trivial source characters in blocks with cyclic defect groups ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ The classification of the trivial source modules in blocks with cyclic defect groups

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