Abstract
A sequencing in a finite group G is a list of all elements of G such that the partial products of the list are all distinct. The existence of a sequencing in the nonabelian group of order p n which contains an element of order p n−1 , where p is an odd prime and n>2, is demonstrated. It follows that complete latin squares exist for these orders. A sufficient condition for the existence of a sequencing in the nonabelian group of order pq is also given, where p< q are odd primes with q=2 h+1 for some integer h.
Published Version
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