An algorithm for solving the principal ideal problem with subfields

DOI10.3934/amc.2023021MaRDI QIDQ6605891

Claus Fieker, Tommy Hofmann, William Youmans, Jean-François Biasse

Publication date: 16 September 2024

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

ideal class groupsBrauer relationsprincipal ideal problemapproximate short vectors

Mathematics Subject Classification ID

Galois theory (11R32) Units and factorization (11R27) Number-theoretic algorithms; complexity (11Y16) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

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