Finitely generated subgroups of branch groups and subdirect products of just infinite groups
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915219797704704 |
|---|---|
| author | Grigorchuk, Rostistlav Leemann, Paul-Henry Nagnibeda, Tatiana |
| author_facet | Grigorchuk, Rostistlav Leemann, Paul-Henry Nagnibeda, Tatiana |
| contents | The aim of this paper is to describe the structure of the finitely generated subgroups of a family of branch groups, which includes the first Grigorchuk group and the Gupta-Sidki 3-group. This description is made via the notion of block subgroup. We then use this to show that all groups in the above family are subgroup separable (LERF). These results are obtained as a corollary of a more general structural statement on subdirect products of just infinite groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_16121 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Finitely generated subgroups of branch groups and subdirect products of just infinite groups Grigorchuk, Rostistlav Leemann, Paul-Henry Nagnibeda, Tatiana Group Theory 20E07, 20E08, 20E28 The aim of this paper is to describe the structure of the finitely generated subgroups of a family of branch groups, which includes the first Grigorchuk group and the Gupta-Sidki 3-group. This description is made via the notion of block subgroup. We then use this to show that all groups in the above family are subgroup separable (LERF). These results are obtained as a corollary of a more general structural statement on subdirect products of just infinite groups. |
| title | Finitely generated subgroups of branch groups and subdirect products of just infinite groups |
| topic | Group Theory 20E07, 20E08, 20E28 |
| url | https://arxiv.org/abs/2006.16121 |