As nouns the difference between perm and pegm

is that perm is a permanent while pegm is a sort of moving machine employed in the old pageants.

As a verb perm

is to give hair a perm, using heat, chemicals etc.

As a proper noun Perm

is historical region of northeastern Russia, corresponding to the Kama basin, a left tributary of the Volga. In Russian known as Пермь, also Пермь Великая "Great Perm" or Пермь Камская Kamskaya Perm after the Kama River.