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Finite subgroups of groups of outer automorphisms of free groups

✍ Scribed by D. G. Khramtsov

Publisher
Springer US
Year
1987
Tongue
English
Weight
893 KB
Volume
26
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES

Maximum Order of Finite Abelian Subgroup
Maximum Order of Finite Abelian Subgroups in the Outer Automorphism Group of a Rank n Free Group
✍ 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-
Outer automorphisms of locally finite p-groups
✍ 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