On automorphism groups of free products of finite groups, I: Proper Actions
| dc.creator | Chen, Yuqing | |
| dc.creator | Glover, Henry | |
| dc.creator | Jensen, Craig | |
| dc.date | 2003-01-08 | |
| dc.date | 2003-04-24 | |
| dc.date.accessioned | 2026-07-07T04:54:20Z | |
| dc.date.available | 2026-07-07T04:54:20Z | |
| dc.description | If $G$ is a free product of finite groups, let $ΣAut_1(G)$ 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 $Aut(F_n)$}, preprint] space of pointed trees is an $\underline{E} ΣAut_1(G)$-space for these groups. | |
| dc.description | Removed incorrect example | |
| dc.identifier | https://arxiv.org/abs/math/0301071 | |
| dc.identifier | http://arxiv.org/abs/math/0301071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66207 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20E36; 20J05 | |
| dc.title | On automorphism groups of free products of finite groups, I: Proper Actions | |
| dc.type | text |