Computation of several cyclotomic Swan subgroups

DOI10.1090/S0025-5718-00-01302-8zbMath0998.11064OpenAlexW2073011812MaRDI QIDQ2759103

Daniel R. Replogle, Timothy Kohl

Publication date: 10 December 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01302-8

zbMATH Keywords

unitsgroup ringsclass groups

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to number theory (11-04) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (3)

Nontrivial Galois module structure of cyclotomic fields ⋮ Cyclotomic Swan subgroups and primitive roots. ⋮ Cyclotomic Swan subgroups and irregular indices

Uses Software

• Maple

Cites Work

• Nontrivial lower bounds for class groups of integral group rings
• Relative Galois module structure of quadratic extensions
• A Mayer-Vietoris sequence for class groups
• Swan modules and Hilbert-Speiser number fields
• Cyclotomic Swan subgroups and irregular indices
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