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math.GR2025
Sampling elements of a finite group: efficiency of the product replacement algorithm with an accumulator
Michał Marcinkowski, Piotr Mizerka
Let be a finite group generated by elements. The well-known product replacement algorithm provides an effective method for sampling generating sets of . We study a refin…
math.GR2018
Aut-invariant word norm on right angled Artin and right angled Coxeter groups
Michał Marcinkowski
We show that the Aut-invariant word norm on right angled Artin and right angled Coxeter groups is unbounded (except in few special cases). To prove unboundedness we exhibit certain…
math.GR2012★ 7 cited
Aperiodic tilings of manifolds of intermediate growth
Michał Marcinkowski, Piotr W. Nowak
We give a homological construction of aperiodic tiles for certain open Riemannian surfaces admitting actions of Grigorchuk groups of intermediate growth.