Center of group S3

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

(a) Prove that Z(G) is a normal subgroup of G. (b) Show that Z(Sn) is trivial for any n > 2. (c) ...

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

general linear group GL(V ) is the set of invertible linear maps from V to ... centre, Z say, con...

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