2. (36 points) Free answer. (a) It is known that 2 is a enerator of QR\" . Name all the other enerators of QR\" , with 'ustication. g 23 g 23 J Solution: For any group G with generator 9, recall that 9"\" is also a generator if and only if k is coprirne with the group order lG|. The order of QR3 is (23 7 l)/2 = 11, which is prime, so 2k for k E {1, . . . , 10} : Zil are all the generators of QRE3