The functor of units of Burnside rings for p-groups
| dc.creator | Bouc, Serge | |
| dc.date | 2006-07-27 | |
| dc.date.accessioned | 2026-07-07T07:21:02Z | |
| dc.date.available | 2026-07-07T07:21:02Z | |
| dc.description | 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 that $B^\times$ is a rational biset functor. It follows that if $P$ is a $p$-group, the structure of $B^\times(P)$ can be read from a genetic basis of $P$: the group $B^\times(P)$ is an elementary abelian 2-group of rank equal to the number isomorphism classes of rational irreducible representations of $P$ whose type is trivial, cyclic of order 2, or dihedral. | |
| dc.identifier | https://arxiv.org/abs/math/0607703 | |
| dc.identifier | http://arxiv.org/abs/math/0607703 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115161 | |
| dc.subject | Group Theory | |
| dc.subject | 19A22 ; 16U60 | |
| dc.title | The functor of units of Burnside rings for p-groups | |
| dc.type | text |