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How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics

Eventually, Schoof does use the Cohen–Lenstra heuristics to justify his claims, but only very loosely. … The Cohen–Lenstra heuristics make predictions about the behaviour of class groups of varying number fields, where the number fields vary in "horizontal" families: one fixes a finite group $G$, and runs …
Alex B.'s user avatar
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5 votes

Cohen-Lenstra heuristics for totally complex fields

The general heuristic goes as follows (see the original paper by Cohen-Martinet, but I am being a bit more conservative, since some primes that Cohen-Lenstra-Martinet called "good" seem to not be all …
Alex B.'s user avatar
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