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Principal Moduli and Class Fields
Author(s) -
Cox David,
McKay John,
Stevenhagen Peter
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303002583
Subject(s) - mathematics , principal (computer security) , moduli , class (philosophy) , pure mathematics , artificial intelligence , computer science , physics , quantum mechanics , operating system
The values taken by Γ 0 ( n )‐modular functions at elliptic points of order 2 for the Fricke group Γ 0 ( n ) † that lie outside Γ 0 ( n ) are studied. In the case of a principal modulus (‘Hauptmodul’) for Γ 0 ( n ) or Γ 0 ( n ) † , the class fields generated by these values are determined. 2000 Mathematics Subject Classification 11R37 (primary), 11G15, 20H10 (secondary).