5 citations · 8 across the 4 of their papers we have counts for
6 papers
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…
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…
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…
Stabilizers, Measures and IP-sets
Amador Martin-Pizarro, Daniel Palacín
The purpose of this simple note is to provide elementary model-theoretic proofs to some existing results on sumset phenomena and IP sets, motivated by Hrushovski's work on the stab…
On compactifications and product-free sets
Daniel Palacín
A subset of a group is said to be product-free if it does not contain three elements satisfying the equation . We give a negative answer to a question of Babai and Sós on the…
Division Rings with Ranks
Nadja Hempel, Daniel Palacín
Any superrosy division ring (i.e. a division ring equipped with an abstract notion of rank) is shown to be centrally finite. Furthermore, division rings satisfying a generalized ch…