14. Let H, K≤ G. Define a relation on G by 91 92 if there exists an he H and ke K such that hgik = 92. Show that ~is an

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14 Let H K G Define A Relation On G By 91 92 If There Exists An He H And Ke K Such That Hgik 92 Show That Is An 1 (17.16 KiB) Viewed 34 times

14. Let H, K≤ G. Define a relation on G by 91 92 if there exists an he H and ke K such that hgik = 92. Show that ~is an equivalence relation. The corresponding equivalence classes are called double cosets. Compute the double cosets of H = {id, (123), (132)} in A₁. ~