Law of composition
Assume G is a multiplicative group and g element G. The centralizer of g is the set of C_g= {h element G| hgh^(-1) = g}. Prove that C_g is group with law of composition of G. Please do not just copy other people's answers.
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When planning a party you desires to know whom to invite. Among people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will attend only if Kanti will be there,
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