Results 101 to 110 of about 974 (238)
Elementary equivalence of automorphism groups of reduced Abelian p-groups [PDF]
Moscow University Mathematics Bulletin, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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Helicity is a topological invariant of massless particles: C=−2h
Physical Review ResearchThere is an elementary but indispensable relationship between the topology and geometry of massive particles. The geometric spin s is related to the topological dimension of the internal space V by dimV=2s+1.
Eric Palmerduca, Hong Qin
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On a rigidity property for quadratic gauss sums
Mathematika, Volume 72, Issue 1, January 2026.Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
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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
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Cyclotomy and difference families in elementary abelian groups
Journal of Number Theory, 1972 AbstractBy a (v, k, λ)-difference family in an additive abelian group G of order v, we mean a family (Bi ∣ i ∈ I) of subsets of G, each of cardinality k, and such that among the differences (a − b ∣ a, b ∈ Bi; a ≠ b; i ∈ I) each nonzero g ∈ G occurs λ times. The existence of such a difference family implies the existence of a (v, k, λ)-BIBD with G as a
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.For nonzero coprime integers a and b, a positive integer l is said to be good with respect to a and b if there exists a positive integer k such that l divides ak + bk. Since the early 1990s, the notion of good integers has attracted considerable attention from researchers. This continued interest stems from both their elegant number‐theoretic structure
Somphong Jitman, Anwar Saleh Alwardi
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Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Journal of Mathematics, Volume 2026, Issue 1, 2026.Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
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