Results 51 to 60 of about 263 (149)

Abelian threefolds with imaginary multiplication

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
wiley   +1 more source

On exotic matrix exponential sums and Bessel–Speh functions

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley   +1 more source

Type II degenerations of K3 surfaces of degree 4

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

The infinite cyclohedron and its automorphism group

, 2014
Cyclohedra are a well-known infinite familiy of finite-dimensional polytopes that can be constructed from centrally symmetric triangulations of even-sided polygons. In this article we introduce an infinite-dimensional analogue and prove that the group of symmetries of our construction is a semidirect product of a degree 2 central extension of Thompson ...
Tenas, Ariadna Fossas, McCammond, Jon
openaire   +2 more sources

Finite digraphs with given regular automorphism groups

Periodica Mathematica Hungarica, 1978
We prove that, given an infinite group G there is a directed graph X such that its automorphism group A(X) is the regular representation of G. The proof uses combinatorial set theoretic arguments (Erdös-Rado partition calculus). One of the lemmas asserts that, if |G|>2κ then G contains a subset H of power κ+ satisfying x−1y=y−1z⇒x=z (x, y, z ∈ H ...
openaire   +3 more sources

A note on groups with just-infinite automorphism groups

, 2012
An infinite group is said to be just-infinite if all its proper homomorphic images are finite.We investigate the structure of groups whose full automorphism group is just ...
DE GIOVANNI, FRANCESCO, D. Imperatore
openaire   +2 more sources

Topological groups, automorphisms of infinite graphs and a theorem of Trofimov

Discrete Mathematics, 1998
This paper gives a short proof of a theorem of Trofimov about locally finite infinite graphs. The theorem is that the subgroup of bounded automorphisms is vertex-transitive if and only if the graph has a system of imprimitivity with finite blocks such that the group induced on the blocks is a free finitely generated abelian group.
openaire   +1 more source

Transitivity and homogeneity of orthosets and inner-product spaces over subfields of R. [PDF]

Geom Dedic, 2022
Vetterlein T.
europepmc   +1 more source

An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]

Sci Rep, 2021
Masi N.
europepmc   +1 more source