3 datasets found

Tags: biset-functor

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  • A conjecture on B-groups

    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...
  • Fused Mackey functors

    Let $G$ be a finite group. In [HTW], Hambleton, Taylor and Williams have considered the question of comparing Mackey functors for $G$ and biset functors defined on...
  • The functor of units of Burnside rings for p-groups

    In this note I describe the structure of the biset functor $B^\times$ sending a $p$-group $P$ to the group of units of its Burnside ring $B(P)$. In particular, I show...
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