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Vijay Singh chauhan Asked a Question
May 26, 2022 6:34 pmpts 30 pts
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) 1 (B) 42 (C) 13 (D) 2
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  • Navdeep goyal Best Answer
    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...
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