Galois covers of ℙ1 and number fields with large class groups - Archive ouverte HAL
Article Dans Une Revue International Journal of Number Theory Année : 2022

Galois covers of ℙ1 and number fields with large class groups

Résumé

For each finite subgroup G of PGL2(Q), and for each integer n coprime to 6, we construct explicitly infinitely many Galois extensions of Q with group G and whose ideal class group has n-rank at least #G−1. This gives new n-rank records for class groups of number fields.
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Dates et versions

hal-03920398 , version 1 (03-01-2023)

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Jean Gillibert, Pierre Gillibert. Galois covers of ℙ1 and number fields with large class groups. International Journal of Number Theory, 2022, 18 (06), pp.1261-1288. ⟨10.1142/S1793042122500646⟩. ⟨hal-03920398⟩
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