Group \(Aut_ r<Q,\leq >\) is not constructivizable (Q1062975)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Group \(Aut_ r<Q,\leq >\) is not constructivizable |
scientific article; zbMATH DE number 3916247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Group \(Aut_ r<Q,\leq >\) is not constructivizable |
scientific article; zbMATH DE number 3916247 |
Statements
Group \(Aut_ r<Q,\leq >\) is not constructivizable (English)
0 references
1984
0 references
In this article we prove that the group of all recursive permutations of the set of rational numbers which preserve the natural order is not constructivizable; this provides an answer to a well-known question formulated at the 600th Seminar Conference of ''Algebra i Logika'' (Problem Day) at Novosibirsk State University and the Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR.
0 references
group of all recursive permutations of the set of rational numbers
0 references
natural order
0 references
0 references
0.8278839
0 references
0.82623196
0 references
0.82422173
0 references