3 papers
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.GT2021
The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms
Michael Brandenbursky, Michał Marcinkowski, Egor Shelukhin
We prove a number of new results on the large-scale geometry of the -metrics on the group of area-preserving diffeomorphisms of each orientable surface. Our proofs use in a ke…
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…