Minimality of topological matrix groups and Fermat primes

DOI10.1016/j.topol.2022.108272OpenAlexW4302362523MaRDI QIDQ2104995

Menachem Shlossberg, Michael G. Megrelishvili

Publication date: 8 December 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12088

zbMATH Keywords

local fieldIwasawa decompositionspecial linear groupmatrix groupFermat primesprojective linear groupminimal topological group

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) (p)-adic theory, local fields (11F85) Linear algebraic groups over local fields and their integers (20G25) Topological fields, rings, etc. (topological aspects) (54H13) Other matrix groups over fields (20H20) Algebraic number theory: local fields (11Sxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics of matrix coefficients and closures of Fourier-Stieltjes algebras
• Total minimality of the unitary groups
• Topological groups and related structures
• On subgroups of minimal topological groups
• Every topological group is a group retract of a minimal group
• Relative minimality and co-minimality of subgroups in topological groups
• Complete minimal and totally minimal groups
• Examples of locally compact non-compact minimal topological groups
• Group representations and construction of minimal topological groups
• Minimal topological algebras
• A quantitative generalization of Prodanov-Stoyanov theorem on minimal abelian topological groups
• Hereditarily minimal topological groups
• Equicontinuous actions of semisimple groups
• Algebra. Volume II: Fields with structure, algebras and advanced topics. Transl. from the German by Silvio Levy. With the collaboration of the translator
• Homomorphic images of Lie groups
• Minimal topological groups
• Absolutely closed Lie groups
• Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups
• The Group Aut (μ) is Roelcke Precompact

This page was built for publication: Minimality of topological matrix groups and Fermat primes