Compact $p$-adic analytic groups in which centralizers are abelian
Group Theory
2024-11-07 v1
Abstract
Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite -adic analytic groups such that the centralizer of each of their non-trivial elements is abelian. The paper answers questions of P.~Shumyatsky, P.~Zalesskii, and T.~Zapata in the Israel J. Math., v.~230, 2019.
Cite
@article{arxiv.2411.03880,
title = {Compact $p$-adic analytic groups in which centralizers are abelian},
author = {Luis Mendonça and Thomas S. Weigel and Theo Zapata},
journal= {arXiv preprint arXiv:2411.03880},
year = {2024}
}
Comments
23 pages