Results 61 to 70 of about 2,880 (211)

ABELIAN SACR-GROUPS

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2019
Summary: A homomorphism \(\mu: G \otimes G \to G\) is called a multiplication on an abelian group \(G\). An abelian group \(G\) with a multiplication on it is called a ring on \(G\). The study of abelian groups supporting only a certain ring is one of the trends in the additive group theory.
openaire   +2 more sources

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

On the positivity and integrality of coefficients of mirror maps

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
wiley   +1 more source

Abelian Groups in Russia

Rocky Mountain Journal of Mathematics, 2002
The author describes the activities in Abelian group theory at the universities of Moscow, Tomsk, and St. Petersburg.
openaire   +3 more sources

On a Ramsey–Turán variant of Roth's theorem

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract A classical theorem of Roth states that the maximum size of a solution‐free set of a homogeneous linear equation L$\mathcal {L}$ in Fp$\mathbb {F}_p$ is o(p)$o(p)$ if and only if the sum of the coefficients of L$\mathcal {L}$ is 0. In this paper, we prove a Ramsey–Turán variant of Roth's theorem, with respect to a natural notion of “structured”
Matija Bucić, Micha Christoph, Jaehoon Kim, Hyunwoo Lee, Varun Sivashankar   +4 more
wiley   +1 more source

Kitaoka's conjecture and sums of squares

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala, Kristýna Kramer, Jakub Krásenský   +2 more
wiley   +1 more source

Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis

Forum of Mathematics, Sigma
In this paper we solve a long-standing problem which goes back to Laurent Schwartz’s work on mean periodic functions. Namely, we completely characterize those locally compact Abelian groups having spectral synthesis. So far a characterization theorem was
László Székelyhidi
doaj   +1 more source

On Nielsen equivalence classes of two‐element generators of mapping class groups

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.
Susumu Hirose, Naoyuki Monden
wiley   +1 more source

The group of homomorphisms of abelian torsion groups

International Journal of Mathematics and Mathematical Sciences, 1979
Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A.
M. W. Legg
doaj   +1 more source