Center of general linear group 2

Then the general linear group GLn(F) is the group of invert- ible n × n matrices with entries in ...

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

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

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

In particular, the center of G is not trivial. Proof. Consider the special case of the class form...