Results 21 to 30 of about 3,053 (239)

Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q

Transactions of the London Mathematical Society, 2019
Recently, there has been much interest in studying the torsion subgroups of elliptic curves base‐extended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when ...
Harris B. Daniels, Maarten Derickx, Jeffrey Hatley   +2 more
doaj   +1 more source

Galois Groups of Trinomials

Journal of Algebra, 1999
Let \(f(X)= X^n+ aX^s+b\) be an irreducible trinomial with integral coefficients, where \(n\) and \(s\) are co-prime. Under which criteria on the coefficients \(a,b\), the Galois group of \(f(X)\) must be the symmetric group \(S_n\)? Examples of such criteria have been given by \textit{H. Osada} [J.
Cohen, S.D, Movahhedi, A, Salinier, A
openaire   +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

The Galois algebra with Galois group which is the automorphism group

Journal of Algebra, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szeto, George, Xue, Lianyong
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Symplectic Groups as Galois Groups

Journal of Algebra, 2000
Let \(\mathbb{F}\) be a field containing the field of order \(q\), let \(x\) and \(t\) be indeterminates, let \(m\) be an integer greater than 1, and let \[ \widehat{f}(Y)= Y^{q^{2m}}+ t^q Y^{q^{m+1}}+ xY^{q^m}+ tY^{q^{m-1}}+Y. \] In [\textit{S. S. Abhyankar}, Proc. Am. Math. Soc. 124, 2977--2991 (1996; Zbl 0866.12005)], it was shown that, for \(m>2\),
openaire   +2 more sources

Projective isomonodromy and Galois groups [PDF]

Proceedings of the American Mathematical Society, 2012
In this article we introduce the notion of projective isomonodromy, which is a special type of monodromy-evolving deformation of linear differential equations, based on the example of the Darboux-Halphen equation. We give an algebraic condition for a parameterized linear differential equation to be projectively isomonodromic, in terms of the derived ...
Mitschi, Claude, Singer, Michael F.
openaire   +2 more sources

Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

The first two group theory papers of Philip Hall

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this paper, we discuss the first two papers on soluble groups written by Philip Hall and their influence on the study of finite groups. The papers appeared in 1928 and 1937 in the Journal of the London Mathematical Society.
Inna Capdeboscq
wiley   +1 more source

Invariance of recurrence sequences under a galois group

International Journal of Mathematics and Mathematical Sciences, 1996
Let F be a Galois field of order q, k a fixed positive integer and R=Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F-vector space Γk(F)(=Γ(L)) of all
Hassan Al-Zaid, Surjeet Singh
doaj   +1 more source

The modular automorphisms of quotient modular curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley   +1 more source