Primitive elements in integral bases

• Autorzy: Bart de Smit
• Języki publikacji: EN

Kategorie tematyczne

• 11R04: Algebraic numbers; rings of algebraic integers
• 11R33: Integral representations related to algebraic numbers; Galois module structure of rings of integers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 71
• Numer: 2
• Strony: 159-170

Daty

wydano

1995

otrzymano

1994-06-14

poprawiono

1994-09-14

Twórcy

autor

Bart de Smit

• Vakgroep Wiskunde, Econometrisch Instituut, Erasmus Universiteit Rotterdam, Postbus 1738, 3000 DR Rotterdam, The Netherlands

Bibliografia

• [1] S. Böge, Die ε-invariante von SL(2,p), Arch. Math. (Basel) 46 (1986), 299-303.
• [2] D. Burns, Factorisability, group lattices, and Galois module structure, J. Algebra 134 (1990), 257-270.
• [3] J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, London, 1967.
• [4] B. de Smit, Class group relations and Galois module structure, dissertation, University of California at Berkeley, 1993.
• [5] A. Fajardo Mirón, The calculation of algebraic integers β with small index [A:ℤ[β]] using the basis reduction algorithm LLL, doctoraal scriptie (MA thesis), Universiteit van Amsterdam, 1987.
• [6] A. Fröhlich, Galois Module Structure of Algebraic Integers, Ergeb. Math. Grenzgeb. (3) 1, Springer, 1983.
• [7] A. Fröhlich, L-values at zero and multiplicative Galois module structure (also Galois Gauss sums and additive Galois module structure), J. Reine Angew. Math. 397 (1989), 42-99.
• [8] J. S. Hsia and R. D. Peterson, An invariant ideal of a group ring of a finite group and applications, J. Algebra 32 (1974), 576-599.
• [9] J. S. Hsia and R. D. Peterson, An invariant ideal of a group ring of a finite group II, Proc. Amer. Math. Soc. 51 (1975), 275-281.
• [10] S. Lang, Algebraic Number Theory, Graduate Texts in Math. 110, Springer, New York, 1986.
• [11] W. Scharlau, Eine Invariante endlicher Gruppen, Math. Z. 130 (1973), 291-296.
• [12] S. Sen, On automorphisms of local fields, Ann. of Math. (2) 90 (1969), 33-46.