Results 91 to 100 of about 775 (197)
On the automorphism group of a matroid
AbstractWe show that for any group H (finite or infinite) there exists an independence structure with automorphism group isomorphic to H. The proof is by construction and shows that for any H there is a geometric lattice with automorphism group isomorphic to H.
Harary, Frank +2 more
openaire +3 more sources
Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields
Sufficient conditions under which the semigroup generated by two automorphism of the polynomial ring in two variables over a number field $P$ will be free are given.
Zh. I. Dovghey, M. I. Sumaryuk
doaj +1 more source
Abelian threefolds with imaginary multiplication
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
Automorphisms of Some Magmas of Order $k+k^2$
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj +1 more source
On exotic matrix exponential sums and Bessel–Speh functions
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
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
Automorphisms of free braided nonassociative algebras of rank 2
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
doaj +1 more source
Prismatic F‐crystals and Wach modules
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
Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
doaj +1 more source
On the automorphism group of a tree
AbstractIt is shown that H = Γ(T)v is normal in G = Γ(Tv) for any tree T and any vertex v, if and only if, for all vertices u in the neighborhood N of v, the set of images of u under G is either contained in N or has precisely the vertex u in common with N and every vertex in the set of images is fixed by H.
K. C. Stacey, Derek A. Holton
openaire +2 more sources

