RAMIFICATION STRUCTURES FOR QUOTIENTS OF MULTI-EGS GROUPS
(2023) In International Journal of Group Theory 12(4). p.237-252- Abstract
Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk-Gupta-Sidki groups, GGS-groups for short, admit ramification structures. We extend their result by showing that quotients of generalisations of the GGS-groups, namely multi-EGS groups, also admit ramification structures.
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https://lup.lub.lu.se/record/89849ac2-13d6-4b95-b7e0-5c15d61e2094
- author
- Di Domenico, Elena ; Gül, Şükran and Thillaisundaram, Anitha LU
- organization
- publishing date
- 2023-12
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- finite p-groups, Groups acting on rooted trees, ramification structures
- in
- International Journal of Group Theory
- volume
- 12
- issue
- 4
- pages
- 16 pages
- publisher
- University of Isfahan
- external identifiers
-
- scopus:85149213410
- ISSN
- 2251-7650
- DOI
- 10.22108/IJGT.2022.130522.1741
- language
- English
- LU publication?
- yes
- id
- 89849ac2-13d6-4b95-b7e0-5c15d61e2094
- date added to LUP
- 2023-03-13 11:21:48
- date last changed
- 2023-03-13 11:21:48
@article{89849ac2-13d6-4b95-b7e0-5c15d61e2094, abstract = {{<p>Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk-Gupta-Sidki groups, GGS-groups for short, admit ramification structures. We extend their result by showing that quotients of generalisations of the GGS-groups, namely multi-EGS groups, also admit ramification structures.</p>}}, author = {{Di Domenico, Elena and Gül, Şükran and Thillaisundaram, Anitha}}, issn = {{2251-7650}}, keywords = {{finite p-groups; Groups acting on rooted trees; ramification structures}}, language = {{eng}}, number = {{4}}, pages = {{237--252}}, publisher = {{University of Isfahan}}, series = {{International Journal of Group Theory}}, title = {{RAMIFICATION STRUCTURES FOR QUOTIENTS OF MULTI-EGS GROUPS}}, url = {{http://dx.doi.org/10.22108/IJGT.2022.130522.1741}}, doi = {{10.22108/IJGT.2022.130522.1741}}, volume = {{12}}, year = {{2023}}, }