Some remarks on the paper of A. Majeed on freeness of the group \(<a^ n,b^ n>\) for some integer n; a,b\(\in SL(2,{\mathbb{C}})\) (Q1094536)
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: Some remarks on the paper of A. Majeed on freeness of the group \(<a^ n,b^ n>\) for some integer n; a,b\(\in SL(2,{\mathbb{C}})\) |
scientific article; zbMATH DE number 4025700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on the paper of A. Majeed on freeness of the group \(<a^ n,b^ n>\) for some integer n; a,b\(\in SL(2,{\mathbb{C}})\) |
scientific article; zbMATH DE number 4025700 |
Statements
Some remarks on the paper of A. Majeed on freeness of the group \(<a^ n,b^ n>\) for some integer n; a,b\(\in SL(2,{\mathbb{C}})\) (English)
0 references
1987
0 references
The author proves the following theorem on groups G generated by two elements A, B of \(SL_ 2({\mathbb{C}})\), which is more general than the result given in the title: Let G be non-elementary and non-elliptic. Then there is a generating pair \(\{\) U,V\(\}\) of G which is Nielsen-equivalent to \(\{\) A,B\(\}\) such that the subgroup generated by \(U^ n\), \(V^ n\) is a discrete free group of rank 2 for some sufficiently large n.
0 references
generating pair
0 references
Nielsen-equivalent
0 references
discrete free group
0 references
