Question

Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________

(a) odd prime

(b) even prime

(c) rational number

(d) negative prime

The question was asked during a job interview.

The query is from Permutation Groups topic in section Groups of Discrete Mathematics

Answer 1

Right answer is (a) odd prime

Easiest explanation: Let n an integer such that n>=3p and m is a 2p-cycle in the permutation group, then p is an odd prime.