Complexity and cohomology of cohomological Mackey functors
| dc.creator | Bouc, Serge | |
| dc.date | 2009-01-20 | |
| dc.date.accessioned | 2026-07-07T12:32:12Z | |
| dc.date.available | 2026-07-07T12:32:12Z | |
| dc.description | Let $k$ be a field of characteristic $p>0$. Call a finite group $G$ a poco group over $k$ if any finitely generated cohomological Mackey functor for $G$ over $k$ has polynomial growth. The main result of this paper is that $G$ is a poco group over $k$ if and only if the Sylow $p$-subgroups of $G$ are cyclic, when $p>2$, or have sectional rank at most 2, when $p=2$. A major step in the proof is the case where $G$ is an elementary abelian $p$-group. In particular, when $p=2$, all the extension groups between simple functors can be determined completely, using a presentation of the graded algebra of self extensions of the simple functor $S_1^G$, by explicit generators and relations. | |
| dc.identifier | https://arxiv.org/abs/0901.3090 | |
| dc.identifier | http://arxiv.org/abs/0901.3090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216700 | |
| dc.subject | Group Theory | |
| dc.subject | Category Theory | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 16P90, 18G10, 18G15, 20J05 | |
| dc.title | Complexity and cohomology of cohomological Mackey functors | |
| dc.type | text |