Center of general linear group 2

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) ...

Finite group GL(2,3), SmallGroup(48,29), GroupNames.

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

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