English

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

Group Theory 2019-05-16 v4

Abstract

We classify the Morita equivalence classes of blocks with elementary abelian defect groups of order 1616 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 Brou\'e's Conjecture.

Keywords

Cite

@article{arxiv.1612.03485,
  title  = {Morita equivalence classes of blocks with elementary abelian defect groups of order 16},
  author = {Charles W. Eaton},
  journal= {arXiv preprint arXiv:1612.03485},
  year   = {2019}
}