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A complete mapping of a group $G$ is a bijection $\phi\colon G\to G$ such that $x\mapsto x\phi(x)$ is also bijective.
A combinatorial problem on abelian groups
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A note on Steiner triple systems
H. Hanani · 1960
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Sequences in groups with distinct partial products
B. Gordon · 1961
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Group characters and commutators
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On the sequenceability of non-abelian groups of order pq
A. D. Keedwell · 1981
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Sorting in c log n c\log n parallel steps
M. Ajtai, J. Komlós, and E. Szemerédi · 1983
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Partitions of ℤ 2 n \mathbb{Z}_{2}^{n}
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P. Erdős, A. Gyárfás, and L. Pyber · 1991
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Binary labeling of graphs
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Graph labelings in elementary abelian 2-groups
Y. Egawa · 1997
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Combinatorial nullstellensatz
N. Alon · 1999
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The Cayley addition table of ℤ n \mathbb{Z}_{n}
H. S. Snevily · 1999
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Additive Latin transversals
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Near-optimal list colorings
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A natural barrier in random greedy hypergraph matching
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