Results 81 to 90 of about 137 (119)
Sharp Characters of Quasigroups
European Journal of Combinatorics, 1993 The idea of a sharp permutation character of a group arises from combinatorial considerations. Recent work, founded on early results of H. F. Blichfeldt published in 1904, has shown that the definition of sharpness can be extended to arbitrary group characters, and in fact it has emerged that the natural object to define is a sharp triple.
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Sub-quasigroups of finite quasigroups [PDF]
Pacific Journal of Mathematics, 1957 openaire +2 more sources
, 2015 Parastrophes (conjugates) of a quasigroup can be divided into separate classes containing isotopic parastrophes. We prove that the number of such classes is always 1, 2, 3 or 6. Next we characterize quasigroups having a fixed number of such classes.
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Varieties of Hexagonal Quasigroups
Journal of Algebra, 1993 The decomposition of a complete graph into disjoint cycles can be used to define a binary operation \(\star\) on the vertices of the graph -- if a cycle is \((\dots, a, b, c, \dots)\) then \(a \star b = c\) and \(c \star b = a\). In general the groupoid thus obtained is not a quasigroup, but when the decomposition satisfies an extra condition, known as
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An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields. [PDF]
Springerplus, 2016 Zhang Y, Zhang H.
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Abelian quasigroups and T-quasigroups
, 1994 By means of known results with respect to algebras of a congruence modular variety it is proved that abelian in the sense of McKenzie quasigroups, i.e. quasigroups coinciding with their centre, are T-quasigroups and conversely.
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Mathematical aspects of molecular replacement. I. Algebraic properties of motion spaces. [PDF]
Acta Crystallogr A, 2011 Chirikjian GS.
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'Nobody could possibly misunderstand what a group is': a study in early twentieth-century group axiomatics. [PDF]
Arch Hist Exact Sci, 2017 Hollings CD.
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Le Matematiche, 1990 We prove that a set of v-2 symmetric idempotent latin squares of order v, such that no two of them agree in a off-diagonal position, exists for all odd v>>0.
Luc Teirlinck
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