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Question Number 193896 by Mastermind last updated on 22/Jun/23

$$\mathrm{Ques}.12$$$$\mathrm{If}\mathrm{Y}=\{0,1,2,3,4\}\mathrm{is}\mathrm{transversal}\mathrm{for}5\mathbb{Z}$$$$\mathrm{in}(\mathbb{Z},+).\mathrm{Show}\mathrm{whether}\mathrm{or}\mathrm{not}\mathrm{Y}\mathrm{is}\mathrm{a}$$$$\mathrm{subgroup}\mathrm{of}5\mathbb{Z}$$$$$$$$\mathrm{subgroup}\mathrm{under}\mathrm{addition}\mathrm{of}\mathrm{integers}\mathrm{modulo}$$$$\mathrm{of}5$$

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