Results 71 to 80 of about 241,261 (215)

Norms in finite galois extensions of the rationals

International Journal of Mathematics and Mathematical Sciences, 1990
We show that under certain conditions a rational number is a norm in a given finite Galois extension of the rationals if and only if this number is a local norm at a certain finite number of places in a certain finite abelian extension of the rationals.
Hans Opolka
doaj   +1 more source

On a notion of “Galois closure” for extensions of rings [PDF]

Journal of the European Mathematical Society, 2014
We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an S_n degree n
Bhargava, Manjul, Satriano, Matthew
openaire   +3 more sources

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

Wilson's map operations on regulat dessins and cyclotomic fields of definition

, 2009
Dessins d’enfants can be seen as bipartite graphs embedded in compact orientable surfaces. According to Grothendieck and others, a dessin uniquely determines a complex structure on the surface, even an algebraic structure as a projective algebraic curve ...
Streit, M., Wolfart, J., Jones, Gareth, G. A. Jones, et al.   +3 more
core   +1 more source

Quartic exercises

International Journal of Mathematics and Mathematical Sciences, 2003
A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. The basic constructions are laid out in general for sets with a profinite group action and for torsors, and ...
Max-Albert Knus, Jean-Pierre Tignol
doaj   +1 more source

Cpn$C_{p^n}$‐equivariant Mahowald invariants

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

Skew group rings which are Galois

International Journal of Mathematics and Mathematical Sciences, 2000
Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′-Galois extension of (S*G)G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G-Galois extension of SG.
George Szeto, Lianyong Xue
doaj   +1 more source

Manin's conjecture for integral points on toric varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
wiley   +1 more source

Separable subalgebras of a class of Azumaya algebras

International Journal of Mathematics and Mathematical Sciences, 1998
Let S be a ring with 1, C the center of S, G a finite automorphism group of S of order n invertible in S, and SG the subnng of elements of S fixed under each element in G. It is shown that the skew group ring S*G is a G′-Galois extension of (S*G)G′ that
George Szeto
doaj   +1 more source

Computing Bonds Between Formal Contexts

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11661-11677, 30 July 2026.
ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón, Jesús Medina, Samuel Molina‐Ruiz   +2 more
wiley   +1 more source