Class Groups, Totally Positive Units, and Squares

DOI10.2307/2045762zbMath0604.12007OpenAlexW4236624851MaRDI QIDQ3741676

Brian L. Peterson, Hugh Edgar, Richard A. Mollin

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045762

zbMATH Keywords

unitsclass numberstotally real algebraic number fieldnarrow class group

Mathematics Subject Classification ID

Units and factorization (11R27) Iwasawa theory (11R23) Totally real fields (11R80)

Related Items (9)

Computing ideal classes representatives in quaternion algebras ⋮ Square classes of totally positive units ⋮ A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS ⋮ Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves ⋮ Signature ranks of units in cyclotomic extensions of abelian number fields ⋮ The unit signature rank deficiency is unbounded over cyclotomic fields ⋮ Selmer groups and quadratic reciprocity ⋮ Composition of binary quadratic forms over number fields ⋮ On unit signatures and narrow class groups of odd degree abelian number fields

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