Cyclicity-index conjecture for imaginary quadratic class groups
Fix n∈Nn\in\mathbb{N}n∈N and a partition λ=(n1,…,nr)\lambda=(n_1,\dots,n_r)λ=(n1,…,nr) of nnn, with n1≥⋯≥nr≥1n_1\geq\cdots\geq n_r\geq1n1≥⋯≥nr≥1, and define … For a finite abelian group GGG, let F(G)\mathcal{F}(G)F(G) denote t…