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 definit...

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Bibliographic Details
Date:2007
Main Authors: Bondarenko, I.V., Savchuk, D.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157340
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On Sushchansky p-groups / I.V. Bondarenko, D.M. Savchuk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 22–42. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine