𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Note on the Automorphism Group of the Rank Two Free Group

✍ Scribed by Heinz Helling


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
223
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Maximum Order of Finite Abelian Subgroup
✍ Zhiqiang Bao πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 128 KB

Let F be a free group of rank n. Denote by Out F its outer automorphism n n group, that is, its automorphism group modulo its inner automorphism group. For arbitrary n, by considering group actions on finite connected graphs, we derived the maximum order of finite abelian subgroups in Out F . Moreov

On Automorphism-Fixed Subgroups of a Fre
✍ 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

A note on groups of colour preserving au
✍ Ulrike Baumann; Ute Holthaus πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 233 KB

## Abstract A perfect edge colouring of a graph is defined by the property that all colour matchings are perfect matchings. Every edge‐coloured graph determines a group of graph automorphisms which preserve the colours of the edges. If the graph is connected, then this group of colour preserving au

The Pure Symmetric Automorphisms of a Fr
✍ Noel Brady; Jon McCammond; John Meier; Andy Miller πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 177 KB

The pure symmetric automorphism group of a finitely generated free group consists of those automorphisms which send each standard generator to a conjugate of itself. We prove that these groups are duality groups.