Results 51 to 60 of about 3,179 (217)
Topological conjugacy of non-singular flows with two limit cycles on $S^2 times S^1$
In the paper, non-singular flows with two limit cycles on the manifold $S^2 times S^1$ are considered. For such flows, a classification is obtained up to topological conjugacy, and it is shown that they have a functional modulus of stability.
Dobrolyubova Alisa L. +1 more
doaj +1 more source
Bayesian Inference for Multivariate Monotone Densities
ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
wiley +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Harada's conjecture II for the finite general linear groups and unitary groups [PDF]
K. Harada conjectured for any finite group $G$, the product of sizes of all conjugacy classes is divisible by the product of degrees of all irreducible characters. We study this conjecture when $G$ is the general linear group over a finite field. We show
Masahiro Sugimoto
doaj +1 more source
Classification and Dynamics of Class of ξ(as)-QSO
The current study provides a new class of ξ(as)-QSO defined on 2D simplex and classifies it into 18 non-conjugate (isomorphic) classes. This classification is based on their conjugacy and the remuneration of coordinates.
Izzat Qaralleh +2 more
doaj +1 more source
Finite non-nilpotent groups with few non-normal non-cyclic subgroups [PDF]
For a finite group $G$, let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$. We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate.
Hamid Mousavi, Zahra Rezazadeh
doaj +1 more source
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
wiley +1 more source
On the Lang–Trotter conjecture for Siegel modular forms
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Base sizes for simple groups and a conjecture of Cameron [PDF]
Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
core +1 more source
Reflection factorizations of Singer cycles [PDF]
The number of shortest factorizations into reflections for a Singer cycle in $GL_n(\mathbb{F}_q)$ is shown to be $(q^n-1)^{n-1}$. Formulas counting factorizations of any length, and counting those with reflections of fixed conjugacy classes are also ...
J.B. Lewis, V. Reiner, D. Stanton
doaj +1 more source

