Introduction to the Construction of Class FieldsCourier Corporation, 01.01.1994 - 213 Seiten A broad introduction to quadratic forms, modular functions, interpretation by rings and ideals, class fields by radicals and more. 1985 ed. |
Inhalt
Early versions of class field theory | 6 |
Interpretation by rings and ideals | 24 |
Finite invariants of a field | 39 |
Function fields | 58 |
Relative fields | 79 |
The WHAT theorem of class field theory | 96 |
The genus class field and transfer theory | 112 |
Class fields by radicals | 132 |
The modular function field | 153 |
Class fields by modular functions | 178 |
| 206 | |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
abelian extension algebraic integer algebraic number Artin basis Chapter Cl{k class field theory class group class number classical Cohn complex conductor conjugates Corollary corresponding cyclic d₁ Dedekind Dedekind ring defined Definition degree denoted discriminant divisors elements equivalence classes Exercise extension factors finite follows function field fundamental G₁ Galois group Hasse hence Hilbert class field ideal class ideal group Illustration integer ring invariant k₁ K₂ lattice Lemma linear Math mathematics matrices maximal modular equation modular functions modular group modulo norm normal field Note number fields number theory polynomial prime ideal primitive problems Proof q-expansions ramified rational ray class ray class field relatively abelian Remark result Riemann surface ring class field roots set of primes splits subfields subgroup unique unit unramified values variables Verify w₁ w₂ Weber Weber's theorem z-sphere