Congruence subgroup growth of arithmetic groups in positive characteristic. (Q1394592)
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: Congruence subgroup growth of arithmetic groups in positive characteristic. |
scientific article; zbMATH DE number 1933169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruence subgroup growth of arithmetic groups in positive characteristic. |
scientific article; zbMATH DE number 1933169 |
Statements
Congruence subgroup growth of arithmetic groups in positive characteristic. (English)
0 references
22 September 2003
0 references
A new uniform bound for subgroup growth of a Chevalley group \(G\) over the local ring \(\mathbb{F}[\![t]\!]\) and also over local pro-\(p\) rings of higher Krull dimension is obtained. This is applied to bound the congruence subgroup growth of arithmetic groups over global fields of positive characteristic. This improves an upper bound obtained by Lubotzky.
0 references
congruence subgroup growth
0 references
arithmetic groups
0 references
analytic groups
0 references
numbers of open subgroups
0 references
