Beauville Structures for Quotients of Generalised GGS-groups
(2024) In Advances in Group Theory and Applications 18. p.3-40- Abstract
A finite group with a Beauville structure gives rise to a certain compact complex surface called a Beauville surface. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk–Gupta–Sidki (GGS-)groups that act on the p-adic tree, for p an odd prime, admit Beauville structures. We extend their result by showing that quotients of infinite periodic GGS-groups acting on pn-adic trees, for p any prime and n ≥ 2, also admit Beauville structures.
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https://lup.lub.lu.se/record/0b0e1f38-efe4-4191-ad92-ea6c8e152843
- author
- Di Domenico, Elena ; Gül, Şükran and Thillaisundaram, Anitha LU
- organization
- publishing date
- 2024-06
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Beauville structure, finite p-group, groups acting on rooted trees
- in
- Advances in Group Theory and Applications
- volume
- 18
- pages
- 38 pages
- publisher
- Aracne Editrice
- external identifiers
-
- scopus:85195262425
- ISSN
- 2499-1287
- DOI
- 10.32037/agta-2024-001
- language
- English
- LU publication?
- yes
- id
- 0b0e1f38-efe4-4191-ad92-ea6c8e152843
- date added to LUP
- 2024-08-20 13:03:13
- date last changed
- 2024-08-21 14:27:24
@article{0b0e1f38-efe4-4191-ad92-ea6c8e152843, abstract = {{<p>A finite group with a Beauville structure gives rise to a certain compact complex surface called a Beauville surface. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk–Gupta–Sidki (GGS-)groups that act on the p-adic tree, for p an odd prime, admit Beauville structures. We extend their result by showing that quotients of infinite periodic GGS-groups acting on p<sup>n</sup>-adic trees, for p any prime and n ≥ 2, also admit Beauville structures.</p>}}, author = {{Di Domenico, Elena and Gül, Şükran and Thillaisundaram, Anitha}}, issn = {{2499-1287}}, keywords = {{Beauville structure; finite p-group; groups acting on rooted trees}}, language = {{eng}}, pages = {{3--40}}, publisher = {{Aracne Editrice}}, series = {{Advances in Group Theory and Applications}}, title = {{Beauville Structures for Quotients of Generalised GGS-groups}}, url = {{http://dx.doi.org/10.32037/agta-2024-001}}, doi = {{10.32037/agta-2024-001}}, volume = {{18}}, year = {{2024}}, }