Wild Primes of a Higher Degree Self-Equivalence of a Number Field

[1] Cassels J.W., Fröhlich A., Algebraic Number Theory, Academic Press, London, 1967.Search in Google Scholar

[2] Czogała A., Sładek A., Higher degree Hilbert symbol equivalence of number fields, Tatra Mountains Math. Publ. 11 (1997), 77–88.Search in Google Scholar

[3] Czogała A., Sładek A., Higher degree Hilbert symbol equivalence of number fields II, J. Number Theory 72 (1998), 363–376.10.1006/jnth.1998.2266Search in Google Scholar

[4] Czogała A., Higher degree tame Hilbert-symbol equivalence of number fields,. Abh. Math. Sem. Univ. Hamburg 69 (1999), 175–185.10.1007/BF02940871Search in Google Scholar

[5] Czogała A., On reciprocity equivalence of quadratic number fields, Acta Arith. 58 (1991), 27–46.10.4064/aa-58-1-27-46Search in Google Scholar

[6] Czogała A., Witt rings of Hasse domains of global fields, J. Algebra 244 (2001), 604–630.10.1006/jabr.2001.8918Search in Google Scholar

[7] Czogała A., Rothkegel B., Wild primes of a self-equivalence of a number field, Acta Arith. 166 (2014), 27–46.10.4064/aa166-4-2Search in Google Scholar

[8] Leep D.B., Wadsworth A.R., The Hasse norm theorem mod squares, J. Number Theory 42 (1991), 337–348.10.1016/0022-314X(92)90098-ASearch in Google Scholar

[9] Milnor J., Algebraic K-Theory and quadratic forms, Invent. Math. 9 (1970), 318–344.10.1007/BF01425486Search in Google Scholar

[10] Neukirch J., Class Field Theory, Springer-Verlag, Berlin, 1986.10.1007/978-3-642-82465-4Search in Google Scholar

[11] Perlis R., Szymiczek K., Conner P., Litherland R., Matching Witts with global fields, Contemp. Math. 155 (1994), 365–387.10.1090/conm/155/01393Search in Google Scholar

[12] Rothkegel B., Czogała A., Singular elements and the Witt equivalence of rings of algebraic integers, Ramanujan J. 17 (2008), 185–217.10.1007/s11139-008-9119-zSearch in Google Scholar

[13] Somodi M., On the size of the wild set, Canad. J. Math. 55 (2005), 180–203.Search in Google Scholar

[14] Somodi M., A characterization of the finite wild sets of rational self-equivalences, Acta Arith. 121 (2006), 327–334.10.4064/aa121-4-3Search in Google Scholar

[15] Somodi M., Self-equivalences of the Gaussian field, Rocky Mountain J. Math. 38 (2008), 2077–2089.10.1216/RMJ-2008-38-6-2077Search in Google Scholar

[16] Sładek A., Hilbert symbol equivalence and Milnor K-functor, Acta Math. Inform. Univ. Ostraviensis 6 (1998), 183–190.Search in Google Scholar