Let S(V ) be a complex linear sphere of a finite group G. LetS(V )∗n denote the n-fold join of S(V ) with itself and let autG(S(V )∗)denote the space of G-equivariant self homotopy equivalences of S(V )∗n.We show that for any k ≥ 1 there exists M > 0 which depends only onV such that |k autG(S(V )∗n)| ≤ M is for all n ≫ 0.
|Number of pages||18|
|Journal||Proceedings of the Edinburgh Mathematical Society|
|Early online date||26 Oct 2015|
|Publication status||Published - May 2016|
- homotopy groups
- equivariant spheres
- complex representations