Solution-Explain what the index of a subgroup and a coset

Explain what the index of a subgroup and a coset of a group

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Reference no: EM131025969

Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is an element of N if and only if either (1) both "a" and "b" are elements of N or (2) neither "a" nor "b" is an element of N.

Reference no: EM131025969

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Explain what the index of a subgroup and a coset of a group : Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is an element of N if and only if either (1) both "..

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Explain what the index of a subgroup and a coset of a group

Reference no: EM131025969

Reference no: EM131025969

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