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2 years ago
gh-37074: implement natural morphism from cl(f²D) to cl(D) ...for class groups of binary quadratic forms, which we have since #36184. This map is defined by finding a class representative $[a,b,c]$ for which $f^2 \mid a$ (and $f \mid b$) and then applying the substitution $x \mapsto x/f$. In the code, we do it in prime steps, since that makes finding a suitable representative a little easier. This can be used, among other things, for determining the kernel of the surjection $\mathrm{cl}(f^2D) \twoheadrightarrow \mathrm{cl}(D)$. URL: https://github.com/sagemath/sage/pull/37074 Reported by: Lorenz Panny Reviewer(s): Lorenz Panny, Travis Scrimshaw
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