Proper actions of automorphism groups of free products of finite groups
by
Craig Jensen
University of New Orleans
Coauthors: Yuqing Chen, Henry Glover

If G is a free product of finite groups, let \SigmaAut₁(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, Symmetric Automorphisms of Free Products, Mem. Amer. Math. Soc. 122 (1996), no. 582] and Gutiérrez-Krsti\'c [M. Gutiérrez and S. Krsti\'c, 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-Krsti\'c [W. Bogley and S. Krsti\'c, String groups and other subgroups of Aut(F_n), preprint] space of pointed trees is an E \SigmaAut₁(G)-space for these groups.

Date received: February 21, 2003