Recent questions tagged cosets

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I am not able to understand clearly the concepts related to cosets, subgroups, lattice theory.Can someone suggest references to clarify my understanding of each topic?
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Let a * H and b * H be two cosets of H.(i) Either a * H and b * H are disjoint(ii) a * H and b * H are identicalThen,(A) only (i) is true(B) only (ii) is true(C) (i) or (ii) is true(D) (i) and (ii) is false
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