4 citations · 4 across the 1 of their papers we have counts for
4 papers
Acylindrical hyperbolicity and existential closedness
Simon André
Let be a finitely presented group, and let be a subgroup of . We prove that if is acylindrically hyperbolic and existentially closed in , then is acylindrical…
Elementary subgroups of virtually free groups
Simon André
We give a description of elementary subgroups (in the sense of first-order logic) of finitely generated virtually free groups. In particular, we recover the fact that elementary su…
On Tarski's problem for virtually free groups
Simon André
We give a complete classification of finitely generated virtually free groups up to -elementary equivalence. As a corollary, we give an algorithm that takes as inpu…
Virtually free groups are almost homogeneous
Simon André
Free groups are known to be homogeneous, meaning that finite tuples of elements which satisfy the same first-order properties are in the same orbit under the action of the automorp…