Geodesic
Non-commensurable hyperbolic manifolds with the same trace ring
Documenta mathematica, Tome 26 (2021), pp. 733-742 Cet article a éte moissonné depuis la source EMS Press

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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≥3. The manifolds can be chosen compact, if n≥4.
DOI : 10.4171/dm/828
Classification : 20G30, 22E40, 53C23, 57M50
Mots-clés : hyperbolic manifold, nonarithmetic lattice, trace ring, non-commensurable 
@article{10_4171_dm_828,
     author = {Olivier Mila},
     title = {Non-commensurable hyperbolic manifolds with the same trace ring},
     journal = {Documenta mathematica},
     pages = {733--742},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/828},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/828/}
}
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Olivier Mila. Non-commensurable hyperbolic manifolds with the same trace ring. Documenta mathematica, Tome 26 (2021), pp. 733-742. doi: 10.4171/dm/828

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