7 citations · 37 across the 19 of their papers we have counts for
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math.GR2018★ 7 cited
Acylindrical hyperbolicity of groups acting on quasi-median graphs and equations in graph products
Motiejus Valiunas
In this paper we study group actions on quasi-median graphs, or 'CAT(0) prism complexes', generalising the notion of CAT(0) cube complexes. We consider hyperplanes in a quasi-media…
math.GR2018★ 1 cited
Negligibity of elliptic elements in ascending HNN-extensions of
Motiejus Valiunas
We study ascending HNN-extensions of finitely generated free abelian groups: examples of such include soluble Baumslag-Solitar groups and fundamental groups of orientable p…
math.GR2018★ 5 cited
Probabilistic nilpotence in infinite groups
Armando Martino, Matthew Tointon, Motiejus Valiunas +1
The 'degree of k-step nilpotence' of a finite group G is the proportion of the tuples (x_1,...,x_{k+1}) in G^{k+1} for which the simple commutator [x_1,...,x_{k+1}] is equal to the…