English

The self-dual indecomposable modules in blocks with cyclic defect groups

Representation Theory 2024-12-18 v2 Group Theory

Abstract

Let pp be an odd prime and let B\mathbf{B} be a pp-block of a finite group, such that B\mathbf{B} has cyclic defect groups. We describe the self-dual indecomposable B\mathbf{B}-modules and for each such module determine whether it is symplectic or orthogonal.

Keywords

Cite

@article{arxiv.2409.05562,
  title  = {The self-dual indecomposable modules in blocks with cyclic defect groups},
  author = {Caroline Lassueur and John Murray},
  journal= {arXiv preprint arXiv:2409.05562},
  year   = {2024}
}

Comments

29 pages, version 2

R2 v1 2026-06-28T18:38:26.702Z