Paper 3, Section II, D
Part IA, 2013
Let be a prime number.
Prove that every group whose order is a power of has a non-trivial centre.
Show that every group of order is abelian, and that there are precisely two of them, up to isomorphism.
Paper 3, Section II, D
Let be a prime number.
Prove that every group whose order is a power of has a non-trivial centre.
Show that every group of order is abelian, and that there are precisely two of them, up to isomorphism.