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The maximum order of finite groups of outer automorphisms of free groups

✍ Scribed by Shicheng Wang; Bruno Zimmermann

Book ID
110559732
Publisher
Springer-Verlag
Year
1994
Tongue
French
Weight
245 KB
Volume
216
Category
Article
ISSN
0025-5874

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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

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Maximum Order of Periodic Outer Automorphisms of a Free Group
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Let F n be a free group with rank n, and denote by Out F n its outer automorphism group. For arbitrary n, consider the orders of periodic elements in Out F n or, equivalently, the orders of finite cyclic subgroups of Out F n . By considering group actions on finite connected graphs, we obtained the

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