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.
Original language | English |
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Pages (from-to) | 237-252 |
Number of pages | 16 |
Journal | International Journal of Group Theory |
Volume | 12 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2023 Dec |
Subject classification (UKÄ)
- Mathematical Analysis
Free keywords
- finite p-groups
- Groups acting on rooted trees
- ramification structures