Results 111 to 120 of about 13,469,908 (217)

Modular analogs of character formulas and minimal lifts of modular forms

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

The probability of generating finite and profinite groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley   +1 more source

The Complexity of Homomorphism Reconstructibility [PDF]

, 2023
Representing graphs by their homomorphism counts has led to the beautiful theory of homomorphism indistinguishability in recent years. Moreover, homomorphism counts have promising applications in database theory and machine learning, where one would like
Seppelt, Tim, Böker, Jan, Standke, Christoph, Härtel, Louis, Runde, Nina   +4 more
core  

Tropical Donagi theorem

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley   +1 more source

A NEW CLASS OF SMALL SUBMODULES [PDF]

Journal of Algebraic Systems
Let $R$ be a commutative ring with identity $1\neq 0$ and $M$ a nonzero unital $R$-module. In this paper, we introduce a new notion of submodules in $M$, namely $T$-semi-annihilator small submodules of $M$ with respect to an arbitrary submodule $T$ of $M$
Farkhondeh Farzalipour, Saeed Rajaee, Marzieh Poyan   +2 more
doaj   +1 more source

Cartwright–Sturmfels Hilbert schemes

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley   +1 more source

Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley   +1 more source

On the integral simplicial volume of cyclic covers of mapping tori

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti, Ervin Hadžiosmanović   +1 more
wiley   +1 more source

On Elliott's conjecture and applications

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen   +2 more
wiley   +1 more source

Interpolation categories for conformal embeddings

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
wiley   +1 more source