Approximability of outer automorphism groups of free groups of finite rank
β Scribed by A. G. Myasnikov
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 542 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0002-5232
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π SIMILAR VOLUMES
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
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