Normal subgroups of GLn(R)

(c) Find the center of GL(n,R). Solution. (a) Let g ∈ G and h ∈ Z(G) be any elements. Then ghg−1 ...

Let GL(n,R) denote the group of n \times n invertible matrices over R . The center of GL(n,R) is ...

In chapter II, the general linear group is discussed in more de- tail. Some of its normal subgrou...

In mathematics, the general linear group of degree n is the set of n×n invertible matrices, toget...

Given a (not necessarily finite dimensional) vector space V prove that the center of GL(V) is the...