Morita equivalence classes of blocks with elementary abelian defect groups of order 16

Abstract

We classify the Morita equivalence classes of blocks with elementary abelian defect groups of order $16$ with respect to a complete discrete valuation ring with algebraically closed residue field of characteristic two. As a consequence, blocks with this defect group are derived equivalent to their Brauer correspondent in the normalizer of a defect group and so satisfy Broué's Conjecture.

Cited by in corpus (5)

• Morita equivalence classes of blocks with elementary abelian defect groups of order 32
• 2-blocks with an abelian defect group and a freely acting cyclic inertial quotient
• Blocks with small-dimensional basic algebra
• Classifying blocks with abelian defect groups of rank $3$ for the prime $2$
• $2$-Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle II