Solved: Let .G; / be a group and suppose H is a nonempty subset of G. Prove that .H; /

Chapter 42, Problem 42.5

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Let .G; / be a group and suppose H is a nonempty subset of G. Prove that .H; / is a subgroup of .G; / provided for every g; h 2 H, we have g h 1 2 H. This gives yet another alternative to Proof Template 24, although of limited utility. 42.6

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