Results 51 to 60 of about 271 (183)
On Azumaya Galois extensions and skew group rings
International Journal of Mathematics and Mathematical Sciences, 1999 Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois
George Szeto
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Journal of Combinatorial Designs, Volume 34, Issue 7, Page 306-329, July 2026.ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon T ( q 3 , q ) in PG ( 7 , q 3 ). We begin by describing the possible intersections of subspaces of PG ( 7 , q 3 ) with T ( q 3 , q ). Then, we provide conditions on a set of lines ℒ, which ensure that ℒ forms the line set of a naturally embedded ...
Sebastian Petit, Geertrui Van de Voorde
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Twistings and Hopf Galois Extensions
Journal of Algebra, 2000 Let \(H\) be a Hopf algebra with bijective antipode over a commutative ring \(R\), let \(A\) be a right \(H\)-comodule algebra, and let \(B\) be the subalgebra of \(H\)-coinvariant elements of \(A\). A mapping \(\tau\) of \(H\otimes A\) into \(A\) may be used to define a new multiplication on the \(H\)-comodule \(A\) by the rule: \(a*a'=\sum a_0\tau ...
Beattie, Margaret, Torrecillas, Blas
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On the fixed‐point proportion of self‐similar groups
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
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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
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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
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An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
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Galois extensions induced by a central idempotent in a partial Galois extension
International Journal of Algebra, 2014 Let (R,α) be a partial Galois extension of RαG with a partial action of a finite group G, e a non-zero central idempotent in R, 1g the central idempotent associated with g ∈ G, and E = e(Πg∈G1g) 6= 0 with a maximal number of factors 1g for g ∈ G. A sufficient condition for a Galois extension Re with Galois group H(e) and for a Galois extension RE with ...
Xiao-Long Jiang, George Szeto
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Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
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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
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