Question

Consider the following sets (of congruence classes) under the given multiplication. Whichof them form groups under this multiplication? Justify your answer. (a) Z/11Z under multiplication modulo 11. (b) (Z/11Z)\{0}, the set of non-zero congruence classes, under multiplication modulo 11. (c) (Z/20Z)\{0}, the set of non-zero congruence classes, under multiplication modulo 20.

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