Geodesic
R-orders in a Split Algebra have Finitely Many Non-Isomorphic Irreducible Lattices as soon as R has Finite Class Number
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 405-409

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a Dedekind domain with quotient field K and ∧ an R-order in the finite-dimensional separable K-algebra A. If K is an algebraic number field with ring of integers R, then the Jordan-Zassenhaus theorem states that for every left A-module L, the set SL(M)={M: M=∧-lattice, KM≅L} splits into a finite number of nonisomorphic ∧-lattices (cf. Zassenhaus [5]). 
Roggenkamp, Klaus W. R-orders in a Split Algebra have Finitely Many Non-Isomorphic Irreducible Lattices as soon as R has Finite Class Number. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 405-409. doi: 10.4153/CMB-1971-070-1
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     title = {R-orders in a {Split} {Algebra} have {Finitely} {Many} {Non-Isomorphic} {Irreducible} {Lattices} as soon as {R} has {Finite} {Class} {Number}},
     journal = {Canadian mathematical bulletin},
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