Ofir David

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math.GR2019

Graphs with large girth and free groups

Ofir David

We use Margulis' construction together with lattice counting arguments to build Cayley graphs on $SL_{2} (F_{p}), p \to \infty$ which are d-regular graph…

math.GR2019

Local to global property in free groups

Ofir David

The local to global property for an equation $ψ$ over a group G asks to show that $ψ$ is solvable in G if and only if it is solvable in every finite quotient of G. In this paper we…