Maximality of orders in Dedekind domains
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DOI: 10.1142/s021949882050125x
Abstract: In this paper, we discuss when an order in a Dedekind domain is maximal. read more here.
Keywords: maximality orders; orders dedekind; dedekind domains;
Chevalley groups of polynomial rings over Dedekind domains
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Group Theory"
DOI: 10.1515/jgth-2019-0100
Abstract: Abstract Let R be a Dedekind domain and G a split reductive group, i.e. a Chevalley–Demazure group scheme, of rank ≥2{\geq 2}. We prove that G(R[x1,…,xn])=G(R)E(R[x1,…,xn]) for anyn≥1.G(R[x_{1},\ldots,x_{n}])=G(R)E(R[x_{1},\ldots,x_{n}])\quad\text{for any}\ n% \geq 1. In particular, this extends… read more here.
Keywords: groups polynomial; polynomial rings; group; chevalley groups ... See more keywords