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Subgroup growth in some profinite Chevalley groups
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Capdeboscq, Inna (Korchagina), Kirkina, Karina and Rumynin, Dmitriy (2017) Subgroup growth in some profinite Chevalley groups. Proceedings of the American Mathematical Society, 145 (10). pp. 4187-4200. doi:10.1090/proc/13567
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Official URL: https://doi.org/10.1090/proc/13567
Abstract
In this article we improve the known uniform bound for subgroup growth of Chevalley groups G(Fp[[t]]). We introduce a new parameter, the ridgeline number v(G), and give new bounds for the subgroup growth of G(Fp[[t]]) expressed through v(G). We achieve this by deriving a new estimate for the codimension of [U, V ] where U and V are vector subspaces in the Lie algebra of G.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Subgroup growth (Mathematics), Lie algebras, Chevalley groups | ||||||
| Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||||
| Publisher: | American Mathematical Society | ||||||
| ISSN: | 0002-9939 | ||||||
| Official Date: | 7 April 2017 | ||||||
| Dates: |
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| Date of first compliant deposit: | 4 November 2016 | ||||||
| Volume: | 145 | ||||||
| Number: | 10 | ||||||
| Page Range: | pp. 4187-4200 | ||||||
| DOI: | 10.1090/proc/13567 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Open Access Version: |
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