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On Sushchansky \(p\)-groups

We study Sushchansky \(p\)-groups introduced in [Sus79]. We recall the original definition and translate it into the language of automata groups. The original actions of Sushchansky groups on \(p\)-ary tree are not level-transitive and we describe their orbit trees. This allows us to simplify the de...

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Bibliographic Details
Date:	2018
Main Authors:	Bondarenko, Ievgen V., Savchuk, Dmytro M.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	Burnside groups growth of groups automata groups branch groups 20F69 20F10 20E08
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/841
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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