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In the following, is the subset H a subgroup of the given group G?(a) G...

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Algebra

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In the following, is the subset H a subgroup of the given group G?(a) G = Z6, H = {[0], [2], [4]}(b) G = S4, H = {e, (1 2 3), (2 4)(1 3), (1 3 2 4), (1 3)}(c) G = Gl? (R),Remember that Gl? (R) is the group of invertible matrices (non-zero determinant)with the group operation being matrix multiplication.

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