𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Automorphism group actions on trees

✍ Scribed by Alexandre Ivanov; Roman Kossak

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
126 KB
Volume
50
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We study the situation when the automorphism group of a recursively saturated structure acts on an ℝ‐tree. The cases of (β„š, <) and models of Peano Arithmetic are central in the paper. (Β© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

On the Automorphism Group of the One-Roo
On the Automorphism Group of the One-Rooted Binary Tree
✍ A.M. Brunner; Said Sidki πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 339 KB

Let A be the automorphism group of the one-rooted regular binary tree T and 2 G the subgroup of A consisting of those automorphisms admitting a ''finite Ε½ . description'' in their action on T . Let N G be the normaliser of G in A, let 2 A Ε½ . Ε½ . Aut G be the group of automorphisms of G, and let End

Circle Maps, Measured Laminations, and F
Circle Maps, Measured Laminations, and Free Group Actions on IR-trees
✍ Mariusz UrbaΕ„ski; Luca Zamboni πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 482 KB

## Abstract This paper explores the connection between homeomorphisms of the unit circle, codimension‐1 measured laminations on closed surfaces, and free actions of surface groups on IR‐trees.

On Groups of Automorphisms of Residually
On Groups of Automorphisms of Residually Finite Groups
✍ Ulderico Dardano; Bettina Eick; Martin Menth πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 111 KB

We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a Ε½ . residually finite and soluble minimax -by-finite group G

Group Actions on Central Simple Algebras
Group Actions on Central Simple Algebras
✍ Daniel S. Sage πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 197 KB

Let G be a group, F a field, and A a finite-dimensional central simple algebra over F on which G acts by F-algebra automorphisms. We study the subalgebras and ideals of A which are preserved by the group action. We prove a structure theorem and two classification theorems for invariant subalgebras u

On Automorphism-Fixed Subgroups of a Fre
On Automorphism-Fixed Subgroups of a Free Group
✍ A. Martino; E. Ventura πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 101 KB

Let F be a finitely generated free group, and let n denote its rank. A subgroup H of F is said to be automorphism-fixed, or auto-fixed for short, if there exists a set S of automorphisms of F such that H is precisely the set of elements fixed by every element of S; similarly, H is 1-auto-fixed if th