12 citations · 43 across the 7 of their papers we have counts for
9 papers · 1 filter
Random triangular Burnside groups
Dominik Gruber, John M. Mackay
We introduce a model for random groups in varieties of -periodic groups as -periodic quotients of triangular random groups. We show that for an explicit $d_{\mathrm{crit}}\in…
Divergence and quasi-isometry classes of random Gromov's monsters
Dominik Gruber, Alessandro Sisto
We show that Gromov's monsters arising from i.i.d. random labellings of expanders (that we call random Gromov's monsters) have linear divergence along a subsequence, so that in par…
Gromov's random monsters do not act non-elementarily on hyperbolic spaces
Dominik Gruber, Alessandro Sisto, Romain Tessera
We show that Gromov's monster groups arising from i.i.d. labelings of expander graphs do not admit non-elementary actions on geodesic hyperbolic spaces. The proof relies on compari…
Small cancellation theory over Burnside groups
Rémi Coulon, Dominik Gruber
We develop a version of small cancellation theory in the variety of Burnside groups. More precisely, we show that there exists a critical exponent such that for every odd int…
Negative curvature in graphical small cancellation groups
Goulnara N. Arzhantseva, Christopher H. Cashen, Dominik Gruber +1
We use the interplay between combinatorial and coarse geometric versions of negative curvature to investigate the geometry of infinitely presented graphical small cancel…
Infinitely presented C(6)-groups are SQ-universal
Dominik Gruber
We prove that infinitely presented classical small cancellation groups are SQ-universal. We extend the result to graphical -groups over free products. For every $p\…
Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
Dominik Gruber, Alessandro Sisto
We prove that infinitely presented graphical small cancellation groups are acylindrically hyperbolic. In particular, infinitely presented classical -groups and, hence…
Finite index subgroups without unique product in graphical small cancellation groups
Dominik Gruber, Alexandre Martin, Markus Steenbock
We construct torsion-free hyperbolic groups without unique product whose subgroups up to some given finite index are themselves non-unique product groups. This is achieved by gener…
Groups with graphical C(6) and C(7) small cancellation presentations
Dominik Gruber
We extend fundamental results of small cancellation theory to groups whose presentations satisfy the generalizations of the classical C(6) and C(7) conditions in graphical small ca…