Results 81 to 90 of about 354 (175)
Abstract Let F$F$ be a non‐Archimedean local field with odd characteristic p$p$. Let N$N$ be a positive integer and G=Sp2N(F)$G=\operatorname{Sp}_{2N}(F)$. By work of Lomelí on γ$\gamma$‐factors of pairs and converse theorems, a generic supercuspidal representation π$\pi$ of G$G$ has a transfer to a smooth irreducible representation Ππ$\Pi _\pi$ of ...
Corinne Blondel +2 more
wiley +1 more source
FINITE NEUTROSOPHIC COMPLEX NUMBERS
In this book for the first time the authors introduce the notion of real neutrosophic complex numbers. Further the new notion of finite complex modulo integers is defined. For every C(Zn) the complex modulo integer iF is such that 2 Fi = n – 1.
Kandasamy, W.B. Vasantha +1 more
core
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
Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]
Suleimenov IE +3 more
europepmc +1 more source
We introduce ordered rings and fields following Artin-Schreier’s approach using positive cones. We show that such orderings coincide with total order relations and give examples of ordered (and non ordered) rings and fields.
Christoph Schwarzweller +1 more
core +1 more source
Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley +1 more source
Realizability of two-dimensional linear groups over rings of integers of algebraic number fields
: Given the ring of integers O (K) of an algebraic number field K, for which natural numbers n there exists a finite group G aS,aEuro parts per thousand GL(n, O (K) ) such that O (K) G, the O (K) -span of G, coincides with M(n, O (K) ), the ring of (n x ...
Van Oystaeyen, Freddy, Malinin, Dmitry
core
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
Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
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

