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Ramification structures for quotients of the Grigorchuk groups

Noce, Marialaura and Thillaisundaram, Anitha LU (2023) In Journal of Algebra and Its Applications 22(2).
Abstract

Groups associated to surfaces isogenous to a higher product of curves can be characterized by a purely group-theoretic condition, which is the existence of the so-called ramification structure. In this paper, we prove that infinitely many quotients of the Grigorchuk groups admit ramification structures. This gives the first explicit infinite family of 3-generated finite 2-groups with 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
Journal of Algebra and Its Applications
volume
22
issue
2
publisher
World Scientific Publishing
external identifiers
  • scopus:85120377322
ISSN
0219-4988
DOI
10.1142/S0219498823500470
language
English
LU publication?
yes
id
21ac92ed-2ea4-4ae8-8bf2-2115fbe697ef
date added to LUP
2021-12-15 14:43:57
date last changed
2025-10-14 12:19:52
@article{21ac92ed-2ea4-4ae8-8bf2-2115fbe697ef,
  abstract     = {{<p>Groups associated to surfaces isogenous to a higher product of curves can be characterized by a purely group-theoretic condition, which is the existence of the so-called ramification structure. In this paper, we prove that infinitely many quotients of the Grigorchuk groups admit ramification structures. This gives the first explicit infinite family of 3-generated finite 2-groups with ramification structures. </p>}},
  author       = {{Noce, Marialaura and Thillaisundaram, Anitha}},
  issn         = {{0219-4988}},
  keywords     = {{finite p -groups; Groups acting on rooted trees; ramification structures}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{World Scientific Publishing}},
  series       = {{Journal of Algebra and Its Applications}},
  title        = {{Ramification structures for quotients of the Grigorchuk groups}},
  url          = {{http://dx.doi.org/10.1142/S0219498823500470}},
  doi          = {{10.1142/S0219498823500470}},
  volume       = {{22}},
  year         = {{2023}},
}