A conjecture on B-groups
Group Theory
2012-02-29 v1
Abstract
In this note, I propose the following conjecture: a finite group G is nilpotent if and only if its largest quotient B-group \beta(G) is nilpotent. I give a proof of this conjecture under the additional assumption that G be solvable. I also show that this conjecture is equivalent to the following: the kernel of restrictions to nilpotent subgroups is a biset-subfunctor of the Burnside functor.
Keywords
Cite
@article{arxiv.1202.6234,
title = {A conjecture on B-groups},
author = {Serge Bouc},
journal= {arXiv preprint arXiv:1202.6234},
year = {2012}
}