Fusion systems on metacyclic 2-groups
Group Theory
2010-10-20 v3 Representation Theory
Abstract
Let P be a finite metacyclic 2-group and F a fusion system on P. We prove that F is nilpotent unless P has maximal class or P is homocyclic, i.e. P is a direct product of two isomorphic cyclic groups. As a consequence we obtain the numerical invariants for 2-blocks with metacyclic defect groups. This paper is a part of the author's PhD thesis.
Cite
@article{arxiv.0908.0783,
title = {Fusion systems on metacyclic 2-groups},
author = {Benjamin Sambale},
journal= {arXiv preprint arXiv:0908.0783},
year = {2010}
}
Comments
4 pages, corrected version