Abstract
Let S(V ) be a complex linear sphere of a finite group G. LetS(V )∗n denote the nfold join of S(V ) with itself and let autG(S(V )∗)denote the space of Gequivariant 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.
Original language  English 

Pages (fromto)  445462 
Number of pages  18 
Journal  Proceedings of the Edinburgh Mathematical Society 
Volume  59 
Issue number  2 
Early online date  26 Oct 2015 
DOIs  
Publication status  Published  May 2016 
Keywords
 homotopy groups
 selfequivalences
 equivariant spheres
 complex representations
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Profiles

Assaf Libman
 Mathematical Sciences (Research Theme)
 School of Natural & Computing Sciences, Mathematical Science  Reader
Person: Academic