5 citations · 8 across the 4 of their papers we have counts for
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math.LO2020★ 2 cited
Complete type amalgamation for non-standard finite groups
Amador Martin-Pizarro, Daniel Palacín
We extend previous work on Hrushovski's stabilizer's theorem and prove a measure-theoretic version of a well-known result of Pillay-Scanlon-Wagner on products of three types. This…
math.GR2020
Finite groups contain large centralizers
Daniel Palacín
Every finite non-abelian group of order has a non-central element whose centralizer has order exceeding . The proof does not rely on the classification of finite simpl…
math.LO2020
Probabilistically-like nilpotent groups
Daniel Palacín
The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups. We prove that a suitable…