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Class groups of dihedral extensions
Author(s) -
Lemmermeyer Franz
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310263
Subject(s) - dihedral angle , mathematics , dihedral group , prime (order theory) , extension (predicate logic) , class (philosophy) , combinatorics , degree (music) , group (periodic table) , chemistry , physics , computer science , organic chemistry , hydrogen bond , molecule , artificial intelligence , acoustics , programming language
Let L/F be a dihedral extension of degree 2 p , where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p ‐ranks of the class groups Cl( K ) and Cl( k ). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)