Nilpotent extensions of blocks
Group Theory
2010-04-12 v1
Abstract
There are normal sub-blocks of nilpotent blocks which are NOT nilpotent or, equivalently, nilpotent extensions of non-nilpotent blocks. In this paper we determine the source algebra structure of the non-nilpotent blocks involved in these situations. Actually, we introduce a new type of blocks - called the inertial blocks - which include the nilpotent blocks and is closed by taking normal sub-blocks.
Keywords
Cite
@article{arxiv.1004.1613,
title = {Nilpotent extensions of blocks},
author = {Lluis Puig},
journal= {arXiv preprint arXiv:1004.1613},
year = {2010}
}