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Question Number 128216 by SOMEDAVONG last updated on 05/Jan/21

$$\mathrm{Give}\mathrm{G}\mathrm{is}\mathrm{group}\mathrm{and}\mathrm{N},\mathrm{Q}⩽\mathrm{G}.\mathrm{Show}\mathrm{that}$$$$\mathrm{for}\mathrm{x},\mathrm{y}\in \mathrm{G}\mathrm{which}\mathrm{xN}=\mathrm{yQ}\Rightarrow \mathrm{N}=\mathrm{Q}.$$

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