5 citations · 11 across the 11 of their papers we have counts for
20 papers
Coset correct means on groups and the probability that two elements commute
Armando Martino, Motiejus Valiunas
Amenable groups are those admitting an invariant mean -- a finitely additive probability mean that assigns equal ``weight'' to any two translates of the same set. We introduce cose…
Moduli spaces of flat Riemannian metrics on orbifolds
Karla García, Ingrid Amaranta Membrillo Solis, Motiejus Valiunas
We study moduli spaces of flat metrics on closed Riemannian orbifolds admitting such metrics. We show that for such orbifolds , the Teichmüller space of flat metrics $…
Higher-rank GBS groups: non-positive curvature and biautomaticity
Sam Shepherd, Motiejus Valiunas
We characterise when a rank generalised Baumslag-Solitar group is CAT(0) and when it is biautomatic.
On the twisted conjugacy problem for large-type Artin groups
Martín Blufstein, Motiejus Valiunas
We show that the twisted conjugacy problem is solvable for large-type Artin groups whose outer automorphism group is finite, generated by graph automorphisms and the global inversi…
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…
Right-angled Artin subgroups and free products in one-relator groups
Ashot Minasyan, Motiejus Valiunas
We investigate criteria ensuring that a one-relator group contains a right-angled Artin subgroup , corresponding to a finite graph . In particular, we prove that if $Γ…