‎motivated by a celebrated theorem of schur‎, ‎we show that if~$gamma$ is a normal subgroup of the full automorphism group $aut(g)$ of a group $g$ such that $inn(g)$ is contained in $gamma$ and $aut(g)/gamma$ has no uncountable abelian subgroups of prime exponent‎, ‎then $[g,gamma]$ is finite‎, ‎provided that the subgroup consisting of all elements of $g$ fixed by $gamma$ has finite index‎. ‎so...

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.

Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study  some properties of absolute central automorphisms of a given finite $p$-group.

Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively. In this paper, we give a necessary and sufficient condition for $G$ such that $Aut_c(G)=Aut^{L}(G)$. We also characterize all finite non-abelian $p$-groups of order $p^...

Ambisonics is a scalable spatial audio technique that attempts to present a sound scene to listeners over as large an area as possible. A localisation experiment was carried out to investigate the performance of a first and third order system at three listening positions one in the centre and two off-centre. The test used a reverse target-pointer adjustment method to determine the error, both s...

Background: The dose rate distribution delivered by a low dose rate 137Cs pellet source, a spherical source used within the source trains of the Selectron gynecological brachytherapy system, was investigated using the MCNP4C Monte Carlo code. Materials and Methods: The calculations were performed in both water and Plexiglas and the absolute dose rate distribution for a single pellet s...

Batzelladine C (3) is a tricyclic guanidine alkaloid of unknown stereochemistry at one centre as well as unknown absolute stereochemistry. The two possible diastereoisomers of the methyl ester corresponding to this compound have been synthesised, permitting the relative and absolute stereochemistry of this compound to be assigned.

background: the dose rate distribution delivered by a low dose rate 137cs pellet source, a spherical source used within the source trains of the selectron gynecological brachytherapy system, was investigated using the mcnp4c monte carlo code. materials and methods: the calculations were performed in both water and plexiglas and the absolute dose rate distribution for a single pellet source and ...