Finiteness theorems for congruence reflection groups

Abstract

This paper is a follow-up to our joint paper with I. Agol, P. Storm and K. Whyte "Finiteness of arithmetic hyperbolic reflection groups". The main purpose is to investigate the effective side of the method developed there and its possible application to the problem of classification of arithmetic hyperbolic reflection groups.

arXiv comment15 pages, to appear in Transform. Groups

References in corpus (3)

• On volumes of arithmetic quotients of PO(n,1), n odd
• Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces
• Hyperbolic reflection groups associated to the quadratic forms $-3x_0^2+x_1^2+...+x_n^2$