Primitive elements in integral bases
Bart de Smit
Acta Arithmetica, Tome 69 (1995), p. 159-170 / Harvested from The Polish Digital Mathematics Library
Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:206765
@article{bwmeta1.element.bwnjournal-article-aav71i2p159bwm,
     author = {Bart de Smit},
     title = {Primitive elements in integral bases},
     journal = {Acta Arithmetica},
     volume = {69},
     year = {1995},
     pages = {159-170},
     zbl = {0829.11052},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav71i2p159bwm}
}
Bart de Smit. Primitive elements in integral bases. Acta Arithmetica, Tome 69 (1995) pp. 159-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav71i2p159bwm/

[000] [1] S. Böge, Die ε-invariante von SL(2,p), Arch. Math. (Basel) 46 (1986), 299-303. | Zbl 0604.20008

[001] [2] D. Burns, Factorisability, group lattices, and Galois module structure, J. Algebra 134 (1990), 257-270. | Zbl 0734.11064

[002] [3] J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, London, 1967.

[003] [4] B. de Smit, Class group relations and Galois module structure, dissertation, University of California at Berkeley, 1993.

[004] [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.

[005] [6] A. Fröhlich, Galois Module Structure of Algebraic Integers, Ergeb. Math. Grenzgeb. (3) 1, Springer, 1983. | Zbl 0501.12012

[006] [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. | Zbl 0693.12012

[007] [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. | Zbl 0278.20005

[008] [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. | Zbl 0278.20006

[009] [10] S. Lang, Algebraic Number Theory, Graduate Texts in Math. 110, Springer, New York, 1986.

[010] [11] W. Scharlau, Eine Invariante endlicher Gruppen, Math. Z. 130 (1973), 291-296. | Zbl 0253.20031

[011] [12] S. Sen, On automorphisms of local fields, Ann. of Math. (2) 90 (1969), 33-46. | Zbl 0199.36301