On conjugacy in groups of finite-state automorphisms of rooted trees
โ Scribed by A. V. Russev
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 171 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0041-5995
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๐ SIMILAR VOLUMES
Let A be the automorphism group of the one-rooted regular binary tree T and 2 G the subgroup of A consisting of those automorphisms admitting a ''finite ลฝ . description'' in their action on T . Let N G be the normaliser of G in A, let 2 A ลฝ . ลฝ . Aut G be the group of automorphisms of G, and let End
We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a ลฝ . residually finite and soluble minimax -by-finite group G