Evans, Anthony B. Applications of complete mappings and orthomorphisms of finite groups. (English) Zbl 1328.05026 Quasigroups Relat. Syst. 23, No. 1, 5-30 (2015). This is a survey paper, which shows how complete mappings and orthomorphisms have been used to obtain certain results related to various combinatorial and algebraic structures. These include (1) constructions of certain types of mutually orthogonal Latin squares and Latin squares with certain properties (2) establishing existence of certain types of sequencings of the elements in a finite group and (3) certain results related to neofields. Reviewer: Julian Abel (Sydney) Cited in 6 Documents MSC: 05B15 Orthogonal arrays, Latin squares, Room squares 20D60 Arithmetic and combinatorial problems involving abstract finite groups Keywords:complete mapping; strong complete mapping; orthomorphism; orthogonal Latin squares; transversal; difference matrix; group sequencing; harmonious group; neofield PDFBibTeX XMLCite \textit{A. B. Evans}, Quasigroups Relat. Syst. 23, No. 1, 5--30 (2015; Zbl 1328.05026)