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RAMIFICATION STRUCTURES FOR QUOTIENTS OF MULTI-EGS GROUPS

Di Domenico, Elena ; Gül, Şükran and Thillaisundaram, Anitha LU (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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author
; and
organization
publishing date
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
2025-10-14 11:48:28
@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}},
}