activity
20192026
most citedTorsion homology growth of polynomially growing free-by-cyclic groups

5 citations · 9 across the 10 of their papers we have counts for

collaborators

12 papers

math.GR2026

Thurston norm, polytopes and splitting complexity

Andrei Jaikin-Zapirain, Monika Kudlinska, Pablo Sánchez-Peralta

Let be a finitely generated torsion-free group satisfying the Strong Atiyah Conjecture. Assuming that , we associate to each surjective integral character t…

math.GR2025

Largest acylindrical actions of free-by-cyclic groups

Monika Kudlinska, Harry Petyt

We show that every finitely generated free-by-cyclic group admits a largest acylindrical action on a hyperbolic space obtained by coning off maximal product subgroups of $G…

math.GR2025

Free-by-cyclic groups are conjugacy separable

François Dahmani, Sam Hughes, Monika Kudlinska +1

We show that all finitely generated free-by-cyclic groups are conjugacy separable: if a finitely generated group surjects onto with free kernel, then for every pai…

math.GR2024

Thurston norm for coherent right-angled Artin groups via -invariants

Monika Kudlinska

We define a new notion of splitting complexity for a group along a non-trivial integral character . If is a one-ended coherent right-angled Artin g…

math.GR2024★ 2 cited

Free-by-cyclic groups are equationally Noetherian

Monika Kudlinska, Motiejus Valiunas

A group is said to be equationally Noetherian if every system of equations in is equivalent to a finite subsystem. We show that all free-by-cyclic groups are equationally N…

math.GT2023

Stallings's Fibring Theorem and -pairs

Martin R. Bridson, Dawid Kielak, Monika Kudlinska

We give a relatively self-contained proof that if a group fibres algebraically and is part of a -pair, then is the fundamental group of a fibred compact asph…

math.GR2023★ 1 cited

Homology growth of polynomially growing mapping tori

Naomi Andrew, Yassine Guerch, Sam Hughes +1

We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, ri…

math.GR2023★ 1 cited

On profinite rigidity amongst free-by-cyclic groups I: the generic case

Sam Hughes, Monika Kudlinska

We prove that amongst the class of free-by-cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever is a free-by-cyclic group with…

math.GR2023

An infinite family of exotic subgroups of hyperbolic groups

Monika Kudlinska

We construct the first known infinite family of quasi-isometry classes of subgroups of hyperbolic groups which are not hyperbolic and are of type . We give…

math.GR2022

On subgroup separability of free-by-cyclic and deficiency 1 groups

Monika Kudlinska

We show that a free-by-cyclic group with a polynomially growing monodromy is subgroup separable exactly when it is virtually . We also prove that random defi…

math.GR2022★ 5 cited

Torsion homology growth of polynomially growing free-by-cyclic groups

Naomi Andrew, Sam Hughes, Monika Kudlinska

We show that the homology torsion growth of a free-by-cyclic group with polynomially growing monodromy vanishes in every dimension independently of the choice of Farber chain. It f…

math.GT2019

Algorithm for filling curves on surfaces

Monika Kudlinska

Let be a compact, orientable surface of negative Euler characteristic, and let be a complete hyperbolic metric on . A geodesic curve in is filling, if it cuts th…