Primitive elements in integral bases

Bart de Smit

Acta Arithmetica (1995)

  • Volume: 71, Issue: 2, page 159-170
  • ISSN: 0065-1036

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Bart de Smit. "Primitive elements in integral bases." Acta Arithmetica 71.2 (1995): 159-170. <http://eudml.org/doc/206765>.

@article{BartdeSmit1995,
author = {Bart de Smit},
journal = {Acta Arithmetica},
keywords = {integral bases; ring of integers; additive generators; primitive element; Galois extensions},
language = {eng},
number = {2},
pages = {159-170},
title = {Primitive elements in integral bases},
url = {http://eudml.org/doc/206765},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Bart de Smit
TI - Primitive elements in integral bases
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 2
SP - 159
EP - 170
LA - eng
KW - integral bases; ring of integers; additive generators; primitive element; Galois extensions
UR - http://eudml.org/doc/206765
ER -

References

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  1. [1] S. Böge, Die ε-invariante von SL(2,p), Arch. Math. (Basel) 46 (1986), 299-303. Zbl0604.20008
  2. [2] D. Burns, Factorisability, group lattices, and Galois module structure, J. Algebra 134 (1990), 257-270. Zbl0734.11064
  3. [3] J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, London, 1967. 
  4. [4] B. de Smit, Class group relations and Galois module structure, dissertation, University of California at Berkeley, 1993. 
  5. [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. [6] A. Fröhlich, Galois Module Structure of Algebraic Integers, Ergeb. Math. Grenzgeb. (3) 1, Springer, 1983. Zbl0501.12012
  7. [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. Zbl0693.12012
  8. [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. Zbl0278.20005
  9. [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. Zbl0278.20006
  10. [10] S. Lang, Algebraic Number Theory, Graduate Texts in Math. 110, Springer, New York, 1986. 
  11. [11] W. Scharlau, Eine Invariante endlicher Gruppen, Math. Z. 130 (1973), 291-296. Zbl0253.20031
  12. [12] S. Sen, On automorphisms of local fields, Ann. of Math. (2) 90 (1969), 33-46. Zbl0199.36301

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