The automorphism group of the universal Coxeter group

2018/05/17 by Varghese, Olga
#20F65 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1805.06748

Abstract

We study fixed point properties of the automorphism group of the universal Coxeter group Aut(W_n). In particular, we prove that whenever Aut(W_n) acts by isometries on complete d-dimensional CAT(0) space with d

Related

• The rhombic dodecahedron and semisimple actions of Aut(F_n) on CAT(0) spaces
• Coxeter quotients of the automorphism group of a Coxeter group
• The symmetries of the Outer space of a universal Coxeter group
• Automorphisms of Coxeter groups
• Coxeter groups and automorphisms