Let H and K be subgroups of a group G. Define ~ on G by a ~
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Let H and K be subgroups of a group G. Define ~ on G by a ~ b if and only if a = hbk for some h ∈ H and some k ∈ K.
a. Prove that ~ is an equivalence relation on G.
b. Describe the elements in the equivalence class containing a ∈ G. (These equivalence classes are called double cosets.)
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a Reflexive We have a eae where e H and e K so a a S...View the full answer
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