if G is a cyclic group of order n, and H a subgroup of order d then for x in G does x divide d i mean the absolute value of x.
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Originally Posted by nidak if G is a cyclic group of order n, and H a subgroup of order d then for x in G does x divide d i mean the absolute value of x. You mean to ask does the order of x divide d? No, say G = Z_7 and H = {0} and x=1. Then ord(x) = 7 but 7 does not divide 1.
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