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Original Articles

Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions

Pages 1119-1130 | Received 11 Aug 2014, Published online: 29 Jan 2016

REFERENCES

  • Byott, N. P. (1997). Galois structure of ideals in wildly ramified abelian p-extensions of a p-adic field, and some applications. Journal de théorie des Nombres de Bordeaux 9:201–219.
  • Byott, N. P. (2011). A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic p. Journal de théorie des nombres de Bordeaux 23(1):59–70.
  • Childs, L. N. (2000). Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, American Mathematical Society.
  • Childs, L. N. (2013). Fixed-point free endomorphisms and Hopf Galois structures. Proceedings of the American Mathematical Society 141(4):1255–1265.
  • Fröhlich, A. (1983). Galois Module Structure of Algebraic Integers. Vol. 1. Berlin: Springer.
  • Johnstone, H. (2015). Explicit integral Galois module structure of weakly ramified extensions of local fields. Proc. Amer. Math. Soc. 143:5059–5071.
  • Taylor, M. J. (1981). On Fröhlich's conjecture for rings of integers of tame extensions. Inventiones Mathematicae 63:41–79.
  • Thomas, L. (2010). On the Galois module structure of extensions of local fields. Publ. Math. Besançon, 157–194.
  • Truman, P. J. (2011). Towards a generalisation of Noethers Theorem to nonclassical Hopf-Galois structures. New York J. Math. 17:799–810.
  • Truman, P. J. (2012). Hopf-Galois module structure of tame biquadratic extensions. Journal de théorie des nombres de Bordeaux, 24(1):173–199.
  • Truman, P. J. (2013). Integral Hopf-Galois structures for tame extensions. New York J. Math, 19:647–655.

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