Results 91 to 100 of about 1,529 (200)

Automorphisms of the Dihedral Groups [PDF]

Proceedings of the National Academy of Sciences, 1942
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Primitivity testing in free group algebras via duality

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel, Danielle Ernst‐West, Doron Puder   +2 more
wiley   +1 more source

Isotopy and equivalence of knots in 3‐manifolds

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto, Corey Bregman, Christopher W. Davis, JungHwan Park, Arunima Ray   +4 more
wiley   +1 more source

Independence and strong independence complexes of finite groups

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley   +1 more source

On Some Properties of the Operator, Defined on Class of Analytic in the Half-Plane Functions

Nonlinear Analysis, 2004
In present paper the properties of the operator introduced by authors, which is defined on special class of n-normalized analytic in the half-plane functions are investigated. This operator is closely related with automorphism of a half-plane.
J. Kirjackis, E. G. Kiriyatzkii
doaj   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Infinity‐operadic foundations for embedding calculus

Journal of Topology, Volume 19, Issue 2, June 2026.
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

Cosine and Sine Addition and Subtraction Law with an Automorphism

Annales Mathematicae Silesianae
Let S be a semigroup. Our main results are that we describe the complex-valued solutions of the following functional equations g(xσ(y))=g(x)g(y)+f(x)f(y),x,y∈S,f(xσ(y))=f(x)g(y)+f(y)g(x),x,y∈S,\matrix{ {g\left( {x\sigma \left( y \right)} \right) = g ...
Aserrar Youssef, Elqorachi Elhoucien
doaj   +1 more source

The Moduli Space of Principal G₂-Bundles and Automorphisms

Mathematics
Let X be a compact Riemann surface of genus g≥2 and M(G2) be the moduli space of polystable principal bundles over X, the structure group of which is the simple complex Lie group of exceptional type G2.
Álvaro Antón-Sancho
doaj   +1 more source

Almost automorphic derivative of an almost automorphic function

V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 2017
In this article are obtained conditions when the derivative of a continuous almost automorphic (an asymptotically almost automorphic, an almost periodic, an asymptotically almost periodic) function remains a continuous almost automorphic (an asymptotically almost automorphic, an almost periodic, an asymptotically almost periodic) function, respectively.
openaire   +3 more sources