On the Knuth semi-fields

We consider three of Knuth's four classes of semi-fieldsKnuth [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...

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Bibliographic Details
Main Authors: D. R. Hughes, M. J. Kallaher
Format: Article
Language:English
Published: Wiley 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171280000038
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