@article{bwmeta1.element.bwnjournal-article-aav60i1p85bwm, author = {Frank Gerth III}, title = {On p-class groups of cyclic extensions of prime degree p of number fields}, journal = {Acta Arithmetica}, volume = {58}, year = {1991}, pages = {85-92}, zbl = {0738.11057}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav60i1p85bwm} }
Frank Gerth III. On p-class groups of cyclic extensions of prime degree p of number fields. Acta Arithmetica, Tome 58 (1991) pp. 85-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav60i1p85bwm/
[000] [1] E. Artin and J. Tate, Class Field Theory, Benjamin, New York 1967. | Zbl 1179.11040
[001] [2] J. Cassels and A. Fröhlich, Algebraic Number Theory, Thompson, Washington, D.C., 1967.
[002] [3] Y. Furuta, The genus field and genus number in algebraic number fields, Nagoya Math. J. 29 (1967), 281-285. | Zbl 0166.05901
[003] [4] F. Gerth, Limit probabilities for coranks of matrices over GF(q), Linear and Multilinear Algebra 19 (1986), 79-93. | Zbl 0609.15006
[004] [5] F. Gerth, Densities for ranks of certain parts of p-class groups, Proc. Amer. Math. Soc. 99 (1987), 1-8. | Zbl 0625.12005
[005] [6] F. Gerth, Densities for 3-class ranks in certain cubic extensions, J. Reine Angew. Math. 381 (1987), 161-180. | Zbl 0622.12008
[006] [7] F. Gerth, On p-class groups of cyclic extensions of prime degree p of quadratic fields, Mathematika 36 (1989), 89-102. | Zbl 0689.12007
[007] [8] F. Gerth, On p-class groups of cyclic extension of prime degree p of certain cyclotomic fields, Manuscripta Math. 70 (1990), 39-50. | Zbl 0716.11053