77 citations · 203 across the 46 of their papers we have counts for
Showing 2013 · math.LOShow all
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math.LO2013★ 5 cited
The affine and projective groups are maximal
Itay Kaplan, Pierre Simon
We show that the groups AGL_n(Q) and PGL_n(Q), seen as closed subgroups of S_{\infty}, are maximal-closed.
math.LO2013★ 15 cited
External definability and groups in NIP theories
Artem Chernikov, Anand Pillay, Pierre Simon
We prove that many properties and invariants of definable groups in NIP theories, such as definable amenability, G/G^{00}, etc., are preserved when passing to the theory of the She…
math.LO2013★ 10 cited
The Borel cardinality of Lascar strong types
Itay Kaplan, Benjamin Miller, Pierre Simon
We show that if the restriction of the Lascar equivalence relation to a KP-strong type is non-trivial, then it is non-smooth (when viewed as a Borel equivalence relation on an appr…