Explicit determination of generalized symmetric and alternating Galois groups

DOI10.1016/j.jpaa.2006.01.012zbMath1159.12001OpenAlexW2100166136MaRDI QIDQ861846

Maria Ángeles Gómez-Molleda

Publication date: 2 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.01.012

zbMATH Keywords

Galois groupwreath productgeneralized alternating groupgeneralized symmetric group

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12)

Cites Work

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• Fast recognition of alternating and symmetric Galois groups
• Computing automorphisms of abelian number fields
• An efficient algorithm for the computation of Galois automorphisms
• Deciding the nilpotency of the Galois group by computing elements in the centre

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