SL\({}_ 2\) over group rings of cyclic groups (Q914840)
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: SL\({}_ 2\) over group rings of cyclic groups |
scientific article; zbMATH DE number 4150499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | SL\({}_ 2\) over group rings of cyclic groups |
scientific article; zbMATH DE number 4150499 |
Statements
SL\({}_ 2\) over group rings of cyclic groups (English)
0 references
1990
0 references
Let R be the group ring of an infinite cyclic group over a field. Ihara described the structure of the group SL\({}_ 2\)R\(=E_ 2R\) as a free product with amalgamation. The purpose of the article is to generalize Ihara's theorem. The field is replaced by a skew field.
0 references
group ring
0 references
infinite cyclic group
0 references
\(SL_ 2\)
0 references
free product with amalgamation
0 references
skew field
0 references
0 references
0 references