Conjugacy growth in branch groups
We prove that branch groups of automorphisms of regular rooted trees can not have polynomial conjugacy growth.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/154/120 |
| _version_ | 1818382439996719104 |
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| author | Bondarenko, I. V. |
| author_facet | Bondarenko, I. V. |
| author_sort | Bondarenko, I. V. |
| collection | DOAJ |
| description | We prove that branch groups of automorphisms of regular rooted trees can not have polynomial conjugacy growth. |
| first_indexed | 2024-12-14T02:50:30Z |
| format | Article |
| id | doaj.art-0aeaaf2b10864c3b8aab32ab91279669 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 |
| language | English |
| last_indexed | 2024-12-14T02:50:30Z |
| publishDate | 2013-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-0aeaaf2b10864c3b8aab32ab912796692022-12-21T23:19:46ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272013-06-01511418Conjugacy growth in branch groupsBondarenko, I. V.We prove that branch groups of automorphisms of regular rooted trees can not have polynomial conjugacy growth.http://journals.pu.if.ua/index.php/cmp/article/view/154/120Branch groupconjugacy classgrowth function |
| spellingShingle | Bondarenko, I. V. Conjugacy growth in branch groups Karpatsʹkì Matematičnì Publìkacìï Branch group conjugacy class growth function |
| title | Conjugacy growth in branch groups |
| title_full | Conjugacy growth in branch groups |
| title_fullStr | Conjugacy growth in branch groups |
| title_full_unstemmed | Conjugacy growth in branch groups |
| title_short | Conjugacy growth in branch groups |
| title_sort | conjugacy growth in branch groups |
| topic | Branch group conjugacy class growth function |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/154/120 |
| work_keys_str_mv | AT bondarenkoiv conjugacygrowthinbranchgroups |