RAMIFICATION STRUCTURES FOR QUOTIENTS OF MULTI-EGS GROUPS

Elena Di Domenico, Şükran Gül, Anitha Thillaisundaram

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)237-252
Number of pages16
JournalInternational Journal of Group Theory
Volume12
Issue number4
DOIs
Publication statusPublished - 2023 Dec

Subject classification (UKÄ)

  • Mathematical Analysis

Free keywords

  • finite p-groups
  • Groups acting on rooted trees
  • ramification structures

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