let $g$ be a finite group‎. ‎a subgroup‎ ‎$h$ of $g$ is called an $mathcal h $ -subgroup in‎ ‎$g$ if $n_g (h)cap h^gleq h$ for all $gin‎ ‎g$. a subgroup $h$ of $g$ is called a weakly‎ $mathcal h^ast $-subgroup in $g$ if there exists a‎ ‎subgroup $k$ of $g$ such that $g=hk$ and $hcap‎ ‎k$ is an $mathcal h$-subgroup in $g$. we‎ ‎investigate the structure of the finite group $g$ under the‎ ‎assump...

let $r$ be a commutative ring. the purpose of this article is to introduce a new class of ideals of r called weakly irreducible ideals. this class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. the relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...

Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a...

Person retrieval is an important vision task, aiming at matching the images of same person under various camera views. The key challenge lies in large intra-class variations among images. Therefore, how to learn discriminative feature representations becomes core problem. In this paper, we propose a deep part-aware representation learning method for retrieval. First, improved triplet loss intro...

In this paper we develop the theory of equisingular deformations of plane curve singularities in arbitrary characteristic. We study equisingular deformations of the parametrization and of the equation and show that the base space of its semiuniveral deformation is smooth in both cases. Our approach through deformations of the parametrization is elementary and we show that equisingular deformati...

We investigate invariant random subgroups in groups acting on rooted trees. Let $\mathrm{Alt}_f(T)$ be the group of finitary even automorphisms $d$-ary tree $T$. prove that a nontrivial ergodic IRS acts without fixed points boundary $T$ contains level stabilizer, particular it is conjugate finite index subgroup. Applying technique to branch we an regular derived subgroup generalized rigid sta...

Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexification of $ A $ and $ | | cdot | | $ be an algebra norm on  $ A_mathbb{C}  $  satisfying a simple condition together with the norm $ | cdot | $ on $ A$.  In this paper we first show that $ A^* $ is a real Banach $ A^{**}$-module if and only if $ (A_mathbb{C})^* $ is a complex Banach $ (A_mathbb{C})^{...

The inference of evolutionary relationships is usually aided by a reconstruction method which is expected to produce a reasonably accurate estimation of the true evolutionary history. However, various factors are known to impede the reconstruction process and result in inaccurate estimates of the true evolutionary relationships. Detecting and removing errors (wrong branches) from tree estimates...

We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representat...

Collective excitations of rotating dusty plasma are analyzed under the quasi-localized charge approximation (QLCA) framework for strongly coupled systems by explicitly accounting dust rotation in analysis. Considering firm analogy magnetoplasmons with “rotoplasmons” established recent experiments, relaxation introduced their strong coupling and two-dimensional (often gravitational sedimentation...