Broué's conjecture for 2-blocks with elementary abelian defect groups of order 32

Autor: Cesare Giulio Ardito, Benjamin Sambale
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Advances in Group Theory and Applications, Vol 12, Pp 71-78 (2021)
Druh dokumentu: article
ISSN: 2499-1287
DOI: 10.32037/agta-2021-012
Popis: The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the block. We finish the remaining cases by utilizing the theory of lower defect groups. As a corollary, we verify Broué’s Abelian Defect Group Conjecture in this situation.
Databáze: Directory of Open Access Journals