In 2010, V. Futorny and S. Ovsienko gave a realization of $U(\mathfrak{gl}_n)$ as subalgebra the ring invariants certain noncommutative with respect to action $S_1\times S_2\times\cdots\times S_n$, where $S_j$ is symmetric group on $j$ variables. An interesting question what similar algebra would be in invariant product alternating groups. this paper we define such an algebra, denoted $\mathscr...

Let G be a finite p-group and let Aut_l(G) be the group of absolute central automorphisms of G. In this paper we give necessary and sufficient condition on G such that each absolute central automorphism of G fixes the centre element-wise. Also we classify all groups of orders p^3 and p^4 whose absolute central automorphisms fix the centre element-wise.

In this section, I discuss institutional details of dark pools and dark liquidity in addition to that in Zhu (2013). Dark pools differ from each other in many ways. We can categorize them, roughly, into the three groups shown in the top panel of Table 1. As described in Zhu (2013), the first group match customer orders by acting as agents (as opposed to trading on their own accounts). Transacti...

We investigate computability theoretic and topological properties of spaces of orders on computable orderable groups. A left order on a group G is a linear order of the domain of G, which is left-invariant under the group operation. Right orders and bi-orders are defined similarly. In particular, we study groups for which the spaces of left orders are homeomorphic to the Cantor set, and their T...

background: low compliance with drugs regimens in diabetic patients is one of the greatest challenges in the treatment of diabetes. the aim of this study was to evaluate compliance with medical orders in diabetic patients referred to the endocrinology clinic of afzalipour hospital, kerman, iran. methods: in this cross sectional study 345 of the 3000 patients, who referred to the endocrinology c...

Imposing a group structure on the set of random orders, the paper reformulates and characterizes the random order value and more generally semi-value operators in a uni ed framework that encompasses games with nite and continuum of players and allows symmetry of the operators to be with respect to a subgroup of automorphisms. A set of orderings of players equipped with a group structure induced...