On p-class groups of cyclic extensions of prime degree p of number fields

• Autorzy: Frank Gerth III
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1991-1992
• Tom: 60
• Numer: 1
• Strony: 85-92

Daty

wydano

1991

otrzymano

1990-11-26

Twórcy

autor

Frank Gerth III

• Department of Mathematics, the University of Texas at Austin, Austin, Texas 78712, U.S.A.

Bibliografia

• [1] E. Artin and J. Tate, Class Field Theory, Benjamin, New York 1967.
• [2] J. Cassels and A. Fröhlich, Algebraic Number Theory, Thompson, Washington, D.C., 1967.
• [3] Y. Furuta, The genus field and genus number in algebraic number fields, Nagoya Math. J. 29 (1967), 281-285.
• [4] F. Gerth, Limit probabilities for coranks of matrices over GF(q), Linear and Multilinear Algebra 19 (1986), 79-93.
• [5] F. Gerth, Densities for ranks of certain parts of p-class groups, Proc. Amer. Math. Soc. 99 (1987), 1-8.
• [6] F. Gerth, Densities for 3-class ranks in certain cubic extensions, J. Reine Angew. Math. 381 (1987), 161-180.
• [7] F. Gerth, On p-class groups of cyclic extensions of prime degree p of quadratic fields, Mathematika 36 (1989), 89-102.
• [8] F. Gerth, On p-class groups of cyclic extension of prime degree p of certain cyclotomic fields, Manuscripta Math. 70 (1990), 39-50.