On Sushchansky p-groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Sushchansky p-groups
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| Creator |
Bondarenko, I.V.
Savchuk, D.M. |
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| Description |
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 definition and prove that these groups admit faithful level-transitive actions on the same tree. Certain branch structures in their self-similar closures are established. We provide the connection with, so-called, G groups [BGS03] that shows that all Sushchansky groups have ˇ intermediate growth and allows to obtain an upper bound on their period growth functions. |
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| Date |
2019-06-20T02:39:29Z
2019-06-20T02:39:29Z 2007 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification: 20F69, 20F10, 20E08. http://dspace.nbuv.gov.ua/handle/123456789/157340 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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