3 papers
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.GR2018
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…
math.LO2016
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…