2003/01/08 by Yuqing Chen, Chen, Yuqing, Henry Glover +3
Mathematics · #20E36 #20J05 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20E36 #msc:20J05
paper · pdf · doi:10.48550/arxiv.math/0301071
Removed incorrect example
arxiv created 2003/04/24 · arxiv updated 2009/11/30
If G is a free product of finite groups, let ΣAut1(G) denote all (necessarily symmetric) automorphisms of G that do not permute factors in the free product. We show that a McCullough-Miller [D. McCullough and A. Miller, \em Symmetric Automorphisms of Free Products, Mem. Amer. Math. Soc. 122 (1996), no. 582] and Gutiérrez-Krstić [M. Gutiérrez and S. Krstić, \em Normal forms for the group of basis-conjugating automorphisms of a free group, International Journal of Algebra and Computation 8 (1998) 631-669] derived (also see Bogley-Krstić [W. Bogley and S. Krstić, \em String groups and other subgroups of Aut(Fn), preprint] space of pointed trees is an \underlineE ΣAut1(G)-space for these groups.