Reference: | E. Artin and J. Tate, Class Field Theory, W. A. Benjamin,
Inc., New York, 1967.
E. Artin, Galois Theory (Notre Dame Math. Lectures, No. 2),
Indiana, 1946.
A. Babakhanian, Cohomological methods in group theory,
Marcel Dekker, New York, 1972.
M. Baker, An introduction to class field theory, Preprint, U. C. Berkeley, 1996.
R. J. Bond, On the splitting of the Hilbert class field,
Journal of Number Theory 42, 1992, 349-360.
R. J. Bond, Some results on the capitulation problem,
J. Number Theory 13, 1981, 246-254.
Brumer and Rosen, Class number and ramification in number fields, Nagoya Math.J. 1963,97-101.
H. Cohn, A classical invitation to algebraic numbers and class fields, Universitext, Springer-Verlag, Berlin and New York, 1978.
G. Cornell and M. Rosen, A note on the splitting of the Hilbert
class field, Journal of Number Theory 28, 1988, 152-158.
D. Garbanati, Extension of the Hasse norm theorem, Bull.
Amer. Math. Soc. 81, 1975, 583-586.
R. Gold, Hilbert class fields and split extensions, Illinois
J. Math. 21, 1977, 66-69.
M. Hall, The theory of groups, Macmillan, New York, 1959.
F. P. Heider, Zahlentheoretische Knoten unendlicher Erweiterungen,
Archiv der Math. 37, 1981, 341-352.
C. S. Herz, Construction of class fields, Seminar on Complex
Multiplication}, Chap. 7, Springer Verlag, New York, 1966.
M. Ishida, Some unramified abelian extensions of algebraic number fields, J. Reine Angew. Math. 268/269, 1974, 165-173.
K. Iwasawa, A note on the group of units of an algebraic number
field, J. Math Pures Appl. 35, 1956, 189-192.
J. P. Jans, Rings and Homology, Holt, Rinehart and winston,
Inc. New York, 1964.
W. Jehne, On knots in algebraic number theory, J. reine u.
angew. Math. 311, 1979, 215-252.
H. Kisilevsky, Number fields with class number congruent to 4 mod
8 and Hilbert`s theorem 94, J. Number Theory 8, 1976,
271-279.
H. Kisilevsky, Some results related to Hilbert`s theorem 94,
J. Number Theory 2, 1970, 199-206.
F. Lemmermeyer, Construction of Hilbert 2-class fields,
Preprint, Heidelberg, 1991.
F. Lorenz, Ein Scholion zum Satz 90 von Hilbert, Abh. Math.
Sem. Univ. Hamburg 68,1998.
S. Maclane, Homology, Springer Verlag, Berlin, 1963.
K. Miyake, The Capitulation Problem, Sugaku Expositions,
Vol. 1, Number 2, 1988, 175-194.
J. Tate, The higher dimensional cohomology
groups of class field theory, Ann. of Math. 56, 1952,
294-297.
E. Weiss, Cohomology of groups, Academic Press, New York,
1969.
B. F. Wyman, Hilbert class fields and group extensions,
Scripta Mathematica, Vol 29, 1973, 141-149.
K. Yamamura, The maximal unramified extensions of the imaginary quadratic number fields with class number two, Journal of number theory 60, 1996, 42-50. |