2. let a and b are elements of a group g such that the order of a is 59. if ab = ba5 then the least positive integer m for which a'""b = ba" holds in g is: (a)

Since (59,43) = 1 , there are integers p,q so that 59p+43q =1. Let c= a^43. a= a^(59p+43q )=a^(43q) = c^(q) Since b commutes with c , b will commmute with all powers of c. In pa...