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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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Bibliographic Details
Main Author: Szaszkowski, Z.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155718
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spelling irk-123456789-1557182019-06-18T01:28:43Z Dynamics of finite groups acting on the boundary of homogenous rooted tree Szaszkowski, Z. 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. 2003 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/155718 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Szaszkowski, Z.
spellingShingle Szaszkowski, Z.
Dynamics of finite groups acting on the boundary of homogenous rooted tree
Algebra and Discrete Mathematics
author_facet Szaszkowski, Z.
author_sort Szaszkowski, Z.
title Dynamics of finite groups acting on the boundary of homogenous rooted tree
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
publisher Інститут прикладної математики і механіки НАН України
publishDate 2003
url http://dspace.nbuv.gov.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.
series Algebra and Discrete Mathematics
work_keys_str_mv AT szaszkowskiz dynamicsoffinitegroupsactingontheboundaryofhomogenousrootedtree
first_indexed 2023-05-20T17:47:05Z
last_indexed 2023-05-20T17:47:05Z
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