Question:
"Let G be a finite group. Prove that G is a p-group iff every element of G has order a power of p."
this was my attempt at the question:
Suppose G is a p-group
, where
Let g
Hence, every element of G has order a power of p.
Conversely, suppose that every element of G has order a...
Question:
What are the orders of the Sylow p-subgroups of the symmetric group ?
Give the possible orders of each Sylow p-subgroup of .
(N.B. If there are many possible orders, then give at least four).Can anyone help me to understand what is meant by the above question please?
So far i...