A Classification of the Stable Type of $BG$
| dc.creator | Martino, John | |
| dc.creator | Priddy, Stewart | |
| dc.date | 1992-07-01 | |
| dc.date.accessioned | 2026-07-07T09:14:48Z | |
| dc.date.available | 2026-07-07T09:14:48Z | |
| dc.description | We give a classification of the $p$--local stable homotopy type of $BG$, where $G$ is a finite group, in purely algebraic terms. $BG$ is determined by conjugacy classes of homomorphisms from $p$--groups into $G$. This classification greatly simplifies if $G$ has a normal Sylow $p$--subgroup; the stable homotopy types then depends only on the Weyl group of the Sylow $p$--subgroup. If $G$ is cyclic mod $p$ then $BG$ determines $G$ up to isomorphism. The last class of groups is important because in an appropriate Grothendieck group $BG$ can be written as a unique linear combination of $BH$'s, where $H$ is cyclic mod $p$. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/9207217 | |
| dc.identifier | http://arxiv.org/abs/math/9207217 | |
| dc.identifier | Bull. Amer. Math. Soc. (N.S.) 27 (1992) 165-170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152808 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.title | A Classification of the Stable Type of $BG$ | |
| dc.type | text |