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Finite neofields and 2-transitive groups

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Algebra and Logic Aims and scope

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Abstract

Let N be a finite neofield distinct from the Galois field and let G be a group generated by right translations x→x+a of an additive loop of N. We prove that, except for four particular cases, G=SN or G=AN holds.

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Authors
  1. A. P. Ilyinykh
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Additional information

Translated fromAlgebra i Logika, Vol. 36, No. 2, pp. 166–193, March–April, 1997.

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Ilyinykh, A.P. Finite neofields and 2-transitive groups. Algebr Logic 36, 99–116 (1997). https://doi.org/10.1007/BF02672478

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  • DOI: https://doi.org/10.1007/BF02672478

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