The symmetries of McCullough-Miller space

• Date: 2018
• Main Author: Piggott, Adam
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees; 20E36; 05E18
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724
• Journal Title: Algebra and Discrete Mathematics

We prove that if \(W\) is the free product of at least four groups of order 2, then the automorphism group of the McCullough-Miller space corresponding to \(W\) is isomorphic to group of outer automorphisms of \(W\). We also prove that, for each integer \(n \geq 3\), the automorphism group of the hy...