Geodesic
Non-commensurable hyperbolic manifolds with the same trace ring
Documenta mathematica, Tome 26 (2021), pp. 733-742.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove that there are infinitely many pairwise non-commensurable hyperbolic $n$-manifolds that have the same ambient group and trace ring, for any $n \geq 3$. The manifolds can be chosen compact, if $n \geq 4$.
Classification : 53C23, 22E40, 57M50, 20G30
Keywords: hyperbolic manifold, nonarithmetic lattice, trace ring, non-commensurable 
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     author = {Mila, Olivier},
     title = {Non-commensurable hyperbolic manifolds with the same trace ring},
     journal = {Documenta mathematica},
     pages = {733--742},
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     volume = {26},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a36/}
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Mila, Olivier. Non-commensurable hyperbolic manifolds with the same trace ring. Documenta mathematica, Tome 26 (2021), pp. 733-742. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a36/