Let G be a finite group of order n and identity element 1. a. Show that g" =1 for any g e G. b. An element g € G is said to be square if there exists z e G such that g = x?. Prove that G has odd order if and only if every element of g is a square.

Q: SUCH THAT LET H BE A PROPER SUBGROUP OF G V x,y € G-H, xy EH. PROVE THAT HAG.

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