English

On blocks with cyclic defect group and their head orders

Representation Theory 2007-05-23 v1

Abstract

It is shown that Section 8 of Plesken's 1983 lecture notes describes blocks of cyclic defect group up to Morita equivalence. In particular such a block is determined by its planar embedded Brauer tree. Applying the radical idealizer process, the head order of such blocks is calculated explicitly.

Keywords

Cite

@article{arxiv.math/0311044,
  title  = {On blocks with cyclic defect group and their head orders},
  author = {Gabriele Nebe},
  journal= {arXiv preprint arXiv:math/0311044},
  year   = {2007}
}