Work

Compact $p$-adic analytic groups in which centralizers are abelian

Year: 2024

Type: preprint

Abstract: Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite $p$-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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2411.03880

Authors: Mendonça, Luis, Weigel, Thomas S., Zapata, Theo

Institution: Universidade Federal de Minas Gerais

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W4404370656

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