The symmetries of McCullough-Miller space

• Datum: 2018
• 1. Verfasser: Piggott, Adam
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees; 20E36; 05E18
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724
• Назва журналу: 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...