a. Let G be a group of order n generated by a set S. Show
Chapter 30, Problem 15E(choose chapter or problem)
a. Let G be a group of order n generated by a set S. Show that a sequence s1, s2, ···, sn–1 of elements of S is a Hamiltonian path in Cay(S:G) if and only if, for all i and j with 1 ? i ? j , n, we have sisi+1 ···sj ? e.b. Show that the sequence s1, s2, ···, sn is a Hamiltonian circuit if and only if s1, s2, ···, sn = e, and that whenever 1 ? i ? j , n, we have sisi+1 ···sj ? e .
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