Cohomology, fusion and a p-nilpotency criterion
Group Theory
2009-04-17 v2
Abstract
Let G be a finite group, p a fixed prime and P a Sylow p-subgroup of G. In this short note we prove that if p is odd, G is p-nilpotent if and only if P controls fusion of cyclic groups of order p. For the case p=2, we show that G is p-nilpotent if and only if P controls fusion of cyclic groups of order 2 and 4.
Cite
@article{arxiv.0904.2503,
title = {Cohomology, fusion and a p-nilpotency criterion},
author = {Jon Gonzalez-Sanchez},
journal= {arXiv preprint arXiv:0904.2503},
year = {2009}
}
Comments
7 pages