On permutation polynomials over finite fields.
Mollin, R.A., Small, C. (1987)
International Journal of Mathematics and Mathematical Sciences
Gudrun Brattström (1989)
Mathematica Scandinavica
A. Prestel, F.-V. Kuhlmann (1984)
Journal für die reine und angewandte Mathematik
W Narkiewicz (1962)
Acta Arithmetica
W. Narkiewicz (1962)
Acta Arithmetica
W. Narkiewicz (1965)
Acta Arithmetica
D.W. Masser (1981)
Inventiones mathematicae
Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
Artūras Dubickas, Gražvydas Šemetulskis (2011)
Acta Arithmetica
Zeng Guangxin (1991)
Mathematische Zeitschrift
Franz Halter-Koch (1993)
Aequationes mathematicae
Florian Pop (1995)
Manuscripta mathematica
Dönges, Christoph (1994)
International Journal of Mathematics and Mathematical Sciences
Paweł Gładki, Bill Jacob (2016)
Banach Center Publications
In this paper we present a method of obtaining new examples of spaces of orderings by considering quotient structures of the space of orderings - it is, in general, nontrivial to determine whether, for a subgroup the derived quotient structure is a space of orderings, and we provide some insights into this problem. In particular, we show that if a quotient structure arising from a subgroup of index 2 is a space of orderings, then it necessarily is a profinite one.
Sudesh K. Khanduja, Usha Garg (1990)
Colloquium Mathematicae
Martin Krüskemper (1990)
Mathematische Zeitschrift
Michailov, Ivo M., Ziapkov, Nikola P. (2011)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 12F12, 15A66.In this article we survey and examine the realizability of p-groups as Galois groups over arbitrary fields. In particular we consider various cohomological criteria that lead to necessary and sufficient conditions for the realizability of such a group as a Galois group, the embedding problem (i.e., realizability over a given subextension), descriptions of such extensions, automatic realizations among p-groups, and related topics.
Andrzej Schinzel (1993)
Kurt Girstmair (1981)
Monatshefte für Mathematik
Kevin Hutchinson (1995)
Acta Arithmetica
0. Introduction. Since ℤ is a principal ideal domain, every finitely generated torsion-free ℤ-module has a finite ℤ-basis; in particular, any fractional ideal in a number field has an "integral basis". However, if K is an arbitrary number field the ring of integers, A, of K is a Dedekind domain but not necessarily a principal ideal domain. If L/K is a finite extension of number fields, then the fractional ideals of L are finitely generated and torsion-free (or, equivalently, finitely generated and...