On the characters a quaternion group q2n where n=pr , rz+ and p is any prime number and p2

Abstract EN

In this research, we present an important result on the characters of the quaternion group Q2n where n = pr and r ≥ Z+ and p is any prime number and not equal to 2, and the main result is the following proposition :- Every rational valued characters of the quaternion group can be written as Z-linear combination of induced characters, Ci runs over all cyclic subgroup of Q2n.