Let S be a principally embedded ???????? 2 -subalgebra in n for n?3. A special case of results the third author and Gregg Zuckerman implies that there exists positive integer b(n) such any finite-dimensional irreducible -representation, V, an S-representation embedding V with dimension at most b(n). In 2017 paper (joint Hassan Lhou), they prove b(n)=n is sharpest possible bound, also address em...

The main target of this article is to study about Lie Groups, Algebras. This will enrich our knowledge Algebraic properties manifolds, how Groups and Algebras are working with their properties. Finally, we have discussed an example by showing all the Algebra,Lie for a special Group Theorem has established. Dhaka Univ. J. Sci. 71(1): 82-86, 2023 (Jan)

let $g$ be a finite group. we construct the prime graph of $ g $,which is denoted by $ gamma(g) $ as follows: the vertex set of thisgraph is the prime divisors of $ |g| $ and two distinct vertices $ p$ and $ q $ are joined by an edge if and only if $ g $ contains anelement of order $ pq $.in this paper, we determine finite groups $ g $ with $ gamma(g) =gamma(l_3(q)) $, $2 leq q < 100 $ and prov...

in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively