On the Knuth semi-fields

D. R. Hughes and M. J. Kallaher

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-17

Abstract:

We consider three of Knuth's four classes of semi-fields—Knuth [11]—namely, those having dimension 2 over a nucleus and show that the autotopism group is solvable (Corollary 4.12). This generalizes a result of Hughes [5]. We also show that for semi-fields of dimension 2 over a nucleus, the number of pairwise non-isomorphic isotopic images is at least 5 (Corollary 5.1.1). This generalizes a result in [10].

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:789047

DOI: 10.1155/S0161171280000038

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