### Abstract

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.

Original language | English |
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Pages (from-to) | 445-462 |

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
- self-equivalences
- 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