  In this paper, we shall discuss the classical question of which compact Lie
groups have the Borsuk-Ulam property and in particular we shall show that every
extension group of a n-torus by a cyclic group of prime order does not have the
Borsuk-Ulam property. This leads us that the only compact Lie groups with the
Borsuk-Ulam property are an elementary abelian p-group and an n-torus, which is
a final answer to the question.
