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 ISSN 0002-9939.

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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:	Date Event October 2017 Published 7 April 2017 Available 2 November 2017 Valid 2 November 2016 Accepted
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
Date of first compliant deposit:	4 November 2016
Date of first compliant Open Access:	28 November 2017
Open Access Version:	ArXiv

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