Abstract
AbstractGiven a sequence in a finite group with , let be the sequence of consecutive quotients of defined by and for . We say that is doubly sequenceable if there exists a sequence in such that every element of appears exactly twice in each of and . We show that if a group is abelian, odd, sequenceable, R‐sequenceable, or terraceable, then it is doubly sequenceable. We also show that if is an odd or sequenceable group and is an abelian group, then is doubly sequenceable.
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