| Title | Automorphisms of p-compact groups and their root data |
| Authors | Kasper Andersen, Jesper Grodal |
| Alternative Location | http://dx.doi.org/10.2140/g..., Restricted Access |
| Publication | Geometry &Topology |
| Year | 2008 |
| Volume | 12 |
| Issue | 3 |
| Pages | 1427 - 1460 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Mathematical Sciences Publishers |
| Abstract English | We construct a model for the space of automorphisms of a connected<br> p-compact group in terms of the space of automorphisms of its maximal torus normalizer and its root datum. As a consequence we show that any homomorphism to the outer automorphism group of a p–compact group can be lifted to a group action, analogous to a classical theorem of de Siebenthal for compact Lie groups. The model of this paper is used in a crucial way in our paper 2, where we prove the conjectured classification of 2–compact groups and determine their automorphism spaces. |
| ISBN/ISSN/Other | ISSN: 1364-0380 (online) |
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