Give-G-is-group-and-N-Q-G-Show-that-for-x-y-G-which-xN-yQ-N-Q-

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

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

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