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Subgroup growth in some profinite Chevalley groups

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Capdeboscq, Inna, Kirkina, Karina and Rumynin, Dmitriy (2017) Subgroup growth in some profinite Chevalley groups. Proceedings of the American Mathematical Society, 145 . pp. 4187-4200. doi:10.1090/proc/13567

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Official URL: https://doi.org/10.1090/proc/13567

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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, Engineering and Medicine > 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: October 2017
Dates:
DateEvent
October 2017Published
7 April 2017Available
2 November 2017Valid
2 November 2016Accepted
Volume: 145
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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