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- W2023308119 abstract "A Steiner quasigroup is a quasigroup satisfying the identities x ( xy ) = y , ( yx ) x = y and x 2 = x . It is well known that the spectrum for Steiner quasigroups is the set of all positive integers such that n ≡ 1 or 3 (mod 6). A Steiner quasigroup is reverse provided that its automorphism group contains an involution fixing exactly one element. The spectrum for reverse Steiner quasigroups has recently been shown to be set of all positive integers such that n ≡ 1, 3, 9 or 19 (mod 24). This paper gives a new construction for reverse Steiner quasigroups and is used to construct large numbers of nonisomorphic reverse Steiner quasigroups. (For example, 10 500 nonisomorphic reverse Steiner quasigroups of order 17 1 ." @default.
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- W2023308119 date "1974-01-01" @default.
- W2023308119 modified "2023-09-23" @default.
- W2023308119 title "Construction of nonisomorphic reverse steiner quasigroups" @default.
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- W2023308119 doi "https://doi.org/10.1016/0012-365x(74)90039-9" @default.
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