BackGGS-groups over primary trees: branch structures
| dc.contributor.author | Di Domenico, Elena | |
| dc.contributor.author | Fernández Alcober, Gustavo Adolfo | |
| dc.contributor.author | Gavioli, N. | |
| dc.date.accessioned | 2023-05-10T17:58:21Z | |
| dc.date.available | 2023-05-10T17:58:21Z | |
| dc.date.issued | 2023-04 | |
| dc.identifier.citation | Monatshefte für Mathematik 200(4) : 781-797 (2023) | es_ES |
| dc.identifier.issn | 0026-9255 | |
| dc.identifier.issn | 1436-5081 | |
| dc.identifier.uri | http://hdl.handle.net/10810/61079 | |
| dc.description.abstract | We study branch structures in Grigorchuk–Gupta–Sidki groups (GGS-groups) over primary trees, that is, regular rooted trees of degree pn for a prime p. Apart from a small set of exceptions for p=2, we prove that all these groups are weakly regular branch over G′′. Furthermore, in most cases they are actually regular branch over γ3(G). This is a significant extension of previously known results regarding periodic GGS-groups over primary trees and general GGS-groups in the case n=1. We also show that, as in the case n=1, a GGS-group generated by a constant vector is not branch. | es_ES |
| dc.description.sponsorship | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer | es_ES |
| dc.rights | info:eu-repo/semantics/openAccess | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
| dc.subject | group theory | es_ES |
| dc.subject | automorphisms of rooted trees | es_ES |
| dc.subject | branch groups | es_ES |
| dc.subject | weakly branch groups | es_ES |
| dc.title | GGS-groups over primary trees: branch structures | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.holder | © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | es_ES |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00605-022-01705-1 | es_ES |
| dc.identifier.doi | 10.1007/s00605-022-01705-1 | |
| dc.departamentoes | Matemáticas | es_ES |
| dc.departamentoeu | Matematika | es_ES |
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Except where otherwise noted, this item's license is described as © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.