Module structure of integers in metacyclic extensions

James Carter

Colloquium Mathematicae (1998)

  • Volume: 76, Issue: 2, page 191-199
  • ISSN: 0010-1354

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Carter, James. "Module structure of integers in metacyclic extensions." Colloquium Mathematicae 76.2 (1998): 191-199. <http://eudml.org/doc/210559>.

@article{Carter1998,
author = {Carter, James},
journal = {Colloquium Mathematicae},
keywords = {Steinitz class; Kummer extension; metacyclic field extension},
language = {eng},
number = {2},
pages = {191-199},
title = {Module structure of integers in metacyclic extensions},
url = {http://eudml.org/doc/210559},
volume = {76},
year = {1998},
}

TY - JOUR
AU - Carter, James
TI - Module structure of integers in metacyclic extensions
JO - Colloquium Mathematicae
PY - 1998
VL - 76
IS - 2
SP - 191
EP - 199
LA - eng
KW - Steinitz class; Kummer extension; metacyclic field extension
UR - http://eudml.org/doc/210559
ER -

References

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  1. [C1] J. E. Carter, Steinitz classes of a nonabelian extension of degree p 3 , Colloq. Math. 71 (1996), 297-303. Zbl0871.11074
  2. [C2] J. E. Carter, Characterizations of Galois extensions of prime cubed degree, Bull. Austral. Math. Soc. 55 (1997), 99-112. Zbl0883.12001
  3. [FT] A. Fröhlich and M. J. Taylor, Algebraic Number Theory, Cambridge Univ. Press, 1991. 
  4. [H] E. Hecke, Lectures on the Theory of Algebraic Numbers, Springer, 1981. 
  5. [J] G. J. Janusz, Algebraic Number Fields, Academic Press, 1973. Zbl0307.12001
  6. [L] S. Lang, Algebraic Number Theory, Springer, 1986. Zbl0601.12001
  7. [Lo] R. L. Long, Steinitz classes of cyclic extensions of prime degree, J. Reine Angew. Math. 250 (1971), 87-98. Zbl0229.12008

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