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arXiv · 1202.6234

A conjecture on B-groups

Serge Bouc
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Abstract

In this note, I propose the following conjecture: a finite group G is nilpotent if and only if its largest quotient B-group β(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.

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Serge Bouc. 2012-02-28. A conjecture on B-groups. https://arxiv.org/abs/1202.6234

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