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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2012, Volume 14, Issue 2, Pages 239–266 (Mi adm97)

RESEARCH ARTICLE

The symmetries of McCullough–Miller space

Department of Mathematics, Bucknell University, Lewisburg PA 17837

Abstract: 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 hypertree complex of rank $n$ is isomorphic to the symmetric group of rank $n$.

Keywords: Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees.

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Bibliographic databases:
MSC: 20E36; 05E18
Revised: 16.03.2012
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Citation: Adam Piggott, “The symmetries of McCullough–Miller space”, Algebra Discrete Math., 14:2 (2012), 239–266

Citation in format AMSBIB
\Bibitem{Pig12} \by Adam~Piggott \paper The symmetries of McCullough--Miller space \jour Algebra Discrete Math. \yr 2012 \vol 14 \issue 2 \pages 239--266 \mathnet{http://mi.mathnet.ru/adm97} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3099973} \zmath{https://zbmath.org/?q=an:1288.20033}