Non-commensurable hyperbolic manifolds with the same trace ring
Olivier Mila
Centre de Recherches Mathématiques, Université de Montréal, Pavillon André-Aisenstadt, 2920 Chemin de la Tour, Montréal, Québec, H3T 1J4, Canada
![Non-commensurable hyperbolic manifolds with the same trace ring cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-26.png&w=3840&q=90)
Abstract
We prove that there are infinitely many pairwise non-commensurable hyperbolic -manifolds that have the same ambient group and trace ring, for any . The manifolds can be chosen compact, if .
Cite this article
Olivier Mila, Non-commensurable hyperbolic manifolds with the same trace ring. Doc. Math. 26 (2021), pp. 733–742
DOI 10.4171/DM/828