Morita equivalence classes of 2-blocks of defect three

2014/09/19 by Charles W. Eaton, Eaton, Charles W.
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #graph theory and CDMA systems

paper · doi:10.48550/arxiv.1409.5701

openalex publication_date 2014/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order 8 and of the derived equivalences between them. A consequence is the verification of Broué's abelian defect group conjecture for these blocks. It also completes the classification of Morita and derived equivalence classes of 2-blocks of defect at most three defined over a suitable field.

Related

• Classifying blocks with abelian defect groups of rank 3 for the prime\n 2
• Broué's Conjecture for 2-blocks with elementary abelian defect groups of order 32
• Morita equivalence classes of blocks with elementary abelian defect\n groups of order 16
• 2-blocks with abelian defect groups
• Morita equivalence classes of blocks with extraspecial defect groups p₊¹⁺²