On the number of conjugates of a quasigroup

DOI10.1007/BF02485252zbMath0324.20078OpenAlexW2085178750MaRDI QIDQ1224662

Dwight Steedley, Charles C. Lindner

Publication date: 1975

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02485252

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (13)

Latin squares with self-orthogonal conjugates ⋮ Totally conjugate orthogonal quasigroups and complete graphs. ⋮ On the existence of ternary quasi-groups with two or eight conjugacy classes ⋮ On the construction of Schroeder quasigroups ⋮ Quasigroups ⋮ Possible orders for the stabilizer of a set of M. O. L. S ⋮ On the conjugates of an \(n\times 4\) orthogonal array ⋮ Frame self-orthogonal Mendelsohn triple systems of type \(h^n\) ⋮ Pentagonal quasigroups, their translatability and parastrophes ⋮ The structure of idempotent translatable quasigroups ⋮ The spectra of a variety of quasigroups and related combinatorial designs ⋮ A historical perspective of the theory of isotopisms ⋮ On the spectrum of n quasigroups with given conjugate invariant subgroup

Cites Work

• Unnamed Item
• On the construction of cyclic quasigroups
• Latin cubes orthogonal to their transposes, a ternary analogue of Stein quasigroups
• On embedding incomplete symmetric Latin squares
• On the Foundations of Quasigroups
• Embedding Incomplete Latin Squares

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