Dynamics of finite groups acting on the boundary of homogenous rooted tree

Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups acting on the boundary of tree are described.

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Published in:Algebra and Discrete Mathematics
Date:2003
Main Author: Szaszkowski, Z.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/155718
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Dynamics of finite groups acting on the boundary of homogenous rooted tree / Z. Szaszkowski // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 86–91. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-155718
record_format dspace
spelling Szaszkowski, Z.
2019-06-17T11:15:40Z
2019-06-17T11:15:40Z
2003
Dynamics of finite groups acting on the boundary of homogenous rooted tree / Z. Szaszkowski // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 86–91. — Бібліогр.: 5 назв. — англ.
1726-3255
2000 Mathematics Subject Classification: 20B25, 20F32, 05C05.
https://nasplib.isofts.kiev.ua/handle/123456789/155718
Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups acting on the boundary of tree are described.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Dynamics of finite groups acting on the boundary of homogenous rooted tree
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Dynamics of finite groups acting on the boundary of homogenous rooted tree
spellingShingle Dynamics of finite groups acting on the boundary of homogenous rooted tree
Szaszkowski, Z.
title_short Dynamics of finite groups acting on the boundary of homogenous rooted tree
title_full Dynamics of finite groups acting on the boundary of homogenous rooted tree
title_fullStr Dynamics of finite groups acting on the boundary of homogenous rooted tree
title_full_unstemmed Dynamics of finite groups acting on the boundary of homogenous rooted tree
title_sort dynamics of finite groups acting on the boundary of homogenous rooted tree
author Szaszkowski, Z.
author_facet Szaszkowski, Z.
publishDate 2003
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups acting on the boundary of tree are described.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/155718
citation_txt Dynamics of finite groups acting on the boundary of homogenous rooted tree / Z. Szaszkowski // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 86–91. — Бібліогр.: 5 назв. — англ.
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first_indexed 2025-12-07T13:36:45Z
last_indexed 2025-12-07T13:36:45Z
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