How the finite cyclic group $\Bbb{Z}_p$ can be endowed with discrete topology to make it a topological group?

Question

How the finite cyclic group $\Bbb{Z}_p$ can be endowed with discrete topology to make it a topological group?

We have information that in discrete topology all subsets of $\Bbb{Z}_p$ is open set and it is the largest topology on $\Bbb{Z}_p$.

Answer 1

A topological group is a group with a topology where the group operation and inverse are continuous.

$\Bbb Z_p$ is a group, the discrete topology is a topology, and any function from a discrete topological space is continuous.

Indeed, as pointed out in the comment by Dietrich Burde, any group can be trivially made into a topological group by considering it with the discrete topology.