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

2020/11/13 by Cesare Giulio Ardito, Benjamin Sambale, Ardito, Cesare G. +1
Mathematics · Engineering · Computer Science · #Finite Group Theory Research #graph theory and CDMA systems #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.2011.06793

Abstract

The first author has recently classified the Morita equivalence classes of 2-blocks B of finite groups with elementary abelian defect group of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of B. 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.

Related

• Morita equivalence classes of 2-blocks of defect three
• Morita equivalence classes of blocks with elementary abelian defect\n groups of order 16
• Classifying blocks with abelian defect groups of rank 3 for the prime\n 2
• 2-blocks with abelian defect groups
• 2-blocks with an abelian defect group and a freely acting cyclic inertial quotient