Results 31 to 40 of about 11,181 (140)
On the tightness of left‐invariant contact structures
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley +1 more source
Let X be a compact connected Riemann surface of genus g≥2 and let E be a holomorphic vector bundle of rank n over X. The compactness and connectedness of X imply that the characteristic polynomial of any holomorphic endomorphism φ∈H0(X,End(E)) has ...
Álvaro Antón-Sancho
doaj +1 more source
On the cohomology of finite‐dimensional nilpotent groups and lie rings
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
The Charge Quantum Numbers of Gauge Invariant Quasi-free Endomorphisms
The representations of a group of gauge automorphisms of the canonical commutation or anticommutation relations which appear on the Hilbert spaces of isometries H_\rho implementing quasi-free endomorphisms \rho on Fock space are studied.
CARSTEN BINNENHEI, Shale D.
core +2 more sources
The N‐prime graph and the Subgroup Isomorphism Problem
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici +2 more
wiley +1 more source
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
An example exploration of the T.Yoshida theorem(T.Yoshida定理的一个实例探讨)
Combining the relevant theories of finite group theory and elementary number theory, and using the properties of congruence equations, a class of non-abelian groups of order 16p2 is determined. By exploring the orders of elements and generating relations,
MENG Xiaole(孟晓乐) +2 more
doaj +1 more source
Endomorphism near-rings of 𝑝-groups generated by the automorphism and inner automorphism groups [PDF]
The purpose of this paper is to investigate the equality of the endomorphism near-rings generated by the automorphism group and inner automorphism group of a nonabelian p p
openaire +1 more source
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
Coverings of solenoids and automorphisms of semigroup C*-algebras
The paper deals with finite-sheeted covering mappings onto the C*-adic solenoids and limit endomorphisms of semigroup C*-algebras. The aim of our exposition is two-fold: firstly, to present the results concerning the above-mentioned mappings and ...
R.N. Gumerov
doaj

