The Ubiquity of Free Subgroups in Certain Inverse Limits of Groups
β Scribed by M. Bhattacharjee
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 439 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Generalizing Specker's result [7] for a countable case without using the continuum hypothesis, NΓΆbeling [6] proved that the subgroup of a direct product I consisting of all finite valued functions is free for any index set I As a non-commutative version of this theorem in case I is countable, Zastro
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