Minimality of topological matrix groups and Fermat primes
نویسندگان
چکیده
Our aim is to study topological minimality of some natural matrix groups. We show that the special upper triangular group ST+(n,F) minimal for every local field F characteristic ?2. This result new even R reals and it leads important consequences. prove criteria total linear SL(n,F), where a subfield field. extends known results Remus–Stoyanov (1991) Bader–Gelander (2017). One our main applications characterization Fermat primes, which asserts an odd prime p following conditions are equivalent: prime; SL(p?1,Q) minimal, Q rationals equipped with p-adic topology; SL(p?1,Q(i)) Q(i)?C Gaussian rational
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.108272