Parity of orthogonal automorphisms
Aleš Drápal, Tomáš Kepka (1987)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Parity of orthogonal permutations”
Parity of orthogonal automorphisms
Loops whose translations generate the alternating group
Aleš Drápal, Tomáš Kepka (1990)
Czechoslovak Mathematical Journal
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On nondistributive Steiner quasigroups
A. Marczak (1997)
Colloquium Mathematicae
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A well known result of R. Dedekind states that a lattice is nonmodular if and only if it has a sublattice isomorphic to . Similarly a lattice is nondistributive if and only if it has a sublattice isomorphic to or (see [11]). Recently a few results in this spirit were obtained involving the number of polynomials of an algebra (see e.g. [1], [3], [5], [6]). In this paper we prove that a nondistributive Steiner quasigroup (G,·) has at least 21 essentially ternary polynomials (which...