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Rigidity of Branch Groups Acting on Rooted Trees |
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| Authors: | Yaroslav Lavreniuk Volodymyr Nekrashevych |
| Institution: | (1) Faculty of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Kyiv, Ukraine |
| Abstract: | Automorphisms of groups acting faithfully on rooted trees are studied. We find conditions under which every automorphism of such a group is induced by a conjugation from the full automorphism group of the rooted tree. These results are applied to known examples such as Grigorchuk groups, Gupta–Sidki group, etc. |
| Keywords: | rooted trees group automorphisms automorphisms of rooted trees automata branch groups |
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