Systemic Lupus Erythematosus (SLE) is a complex clinical syndrome which its components are less clearly recognized and includes heterogeneous demonstrations engaging both central and peripheral nervous system along with disabling effects. This disease is called "thousand faces" due to these heterogeneous demonstrations. This gap exists while 75% of adults and children with SLE may dea...

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.

We develop our general machinery of the Campbell-Hausdorff invariants of links, in the case of pure links, with emphasis on the connections with the lower central series of the pure braid groups. We present a complete simple set of rules for the Artin calculus of longitudes modulo the central series. We prove that if two pure links differ by an order k pure braid commutator, then their order k ...