𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximability of outer automorphism groups of free groups of finite rank

✍ Scribed by A. G. Myasnikov


Publisher
Springer US
Year
1981
Tongue
English
Weight
542 KB
Volume
20
Category
Article
ISSN
0002-5232

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

Outer automorphisms of locally finite p-
✍ GΓ‘bor Braun; RΓΌdiger GΓΆbel πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 136 KB

Every group is an outer automorphism group of a locally finite p-group. This extends an earlier result [M. Dugas, R. GΓΆbel, On locally finite p-groups and a problem of Philip Hall's, J. Algebra 159 (1) (1993) 115-138] about countable outer automorphism groups. It is also in sharp contrast to results