Question: This is for abstract algebra class. Please show me all the details from scratch please. Thank you. 2. Let H be a subgroup of a

This is for abstract algebra class. Please show me all the details from scratch please. Thank you.

2. Let H be a subgroup of a group G such that g-1hg E H for all g E G and all h E H. Prove that every left coset gH is the same as every right coset Hg

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