Ramification structures for quotients of the Grigorchuk groups

Marialaura Noce, Anitha Thillaisundaram

Type: Article

Publication Date: 2021-11-13

Citations: 0

DOI: https://doi.org/10.1142/s0219498823500470

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.

Locations

Journal of Algebra and Its Applications - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (28)

Action	Title	Year	Authors
+	Just Infinite Branch Groups	2000	Rostislav Grigorchuk
+	None	2002	Ekaterina Pervova
+	Beauville surfaces without real structures	2005	Ingrid Bauer Fabrizio Catanese Fritz Grunewald
+ PDF Chat	Recent work on Beauville surfaces, structures and groups	2015	Ben Fairbairn
+	Beauville Surfaces and Groups: A Survey	2014	Gareth A. Jones
+ PDF Chat	PERCOLATION ON GRIGORCHUK GROUPS	2001	Roman Muchnik Igor Pak
+	A Note on Beauville p-Groups	2012	Nathan Barker Nigel Boston Ben Fairbairn
+	Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces	2013	Ben Fairbairn Kay Magaard Christopher Parker
+	The complexity of Grigorchuk groups with application to cryptography	1991	Max Garzón Yechezkel Zalcstein
+	Bernside's problem on periodic groups	1980	Rostislav Grigorchuk