%0 Journal Article
%T A conjecture on B-groups
%A Serge Bouc
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1202.6234v1