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.

Polynomial-time algorithms are given to find a central decomposition of maximum size for a finite p-group of class 2 and for a nilpotent Lie ring of class 2. The algorithms use Las Vegas probabilistic routines to compute the structure of finite ∗-rings and also the Las Vegas C-MeatAxe. When p is small, the probabilistic methods can be replaced by deterministic polynomial-time algorithms. The me...