Among cocompact special groups, being linearly polynomially hyperbolic is equivalent to not containing F2 × F2 as a subgroup, rendering the latter a quasi-isometric invariant.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
In groups containing a constricting element w.r.t. a path system, relative exponential growth rates of infinite-index quasi-convex subgroups are strictly smaller than the group growth rate, while quotient exponential growth rates coincide with it.
Gap theorems are proved for entropy norms of automorphisms on K3, Enriques, and IHS manifolds, with achirality characterized using genus-one fibrations.
citing papers explorer
-
Polynomial hyperbolicity and products of free groups
Among cocompact special groups, being linearly polynomially hyperbolic is equivalent to not containing F2 × F2 as a subgroup, rendering the latter a quasi-isometric invariant.
-
Growth of quasi-convex subgroups in groups with a constricting element
In groups containing a constricting element w.r.t. a path system, relative exponential growth rates of infinite-index quasi-convex subgroups are strictly smaller than the group growth rate, while quotient exponential growth rates coincide with it.
-
Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
Gap theorems are proved for entropy norms of automorphisms on K3, Enriques, and IHS manifolds, with achirality characterized using genus-one fibrations.