Results 71 to 80 of about 2,503,474 (234)
Derangements in intransitive groups
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
On the Cartan matrix of Mackey algebras [PDF]
Let k be a field of characteristic p>0, and G be a finite group. The first result of this paper is an explicit formula for the determinant of the Cartan matrix of the Mackey algebra mu_k(G) of G over k.
Bouc, Serge
core +1 more source
A Heuristic Method for Solving Polynomial Matrix Equations
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander +1 more
doaj +1 more source
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
The strong nilpotency index of a matrix [PDF]
14 ...
openaire +3 more sources
Operator mixing in massless QCD-like theories and Poincarè–Dulac theorem
Recently, a differential-geometric approach to operator mixing in massless QCD-like theories – that involves canonical forms, obtained by means of gauge transformations, based on the Poincarè–Dulac theorem for the system of linear differential equations ...
Matteo Becchetti, Marco Bochicchio
doaj +1 more source
Abstract In this article I consider type II superstring in the pure spinor formulation with constant background fields in the context of T‐dualization. First, I prove that bosonic and fermionic T‐dualization commute using already known T‐dual transformation laws for bosonic and fermionic T‐dualization.
B. Nikolić
wiley +1 more source
Radical preservation and the finitistic dimension
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
Finitely Generated Nil but Not Nilpotent Evolution Algebra [PDF]
To use evolution algebras to model population dynamics that both allow extinction and introduction of certain gametes in finite generations, nilpotency must be built into the algebraic structures of these algebras with the entire algebras not to be ...
Jianjun Paul, Tian, Yi Ming Zou
core
Coxeter's enumeration of Coxeter groups
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source

