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A Semifield Plane of Odd Order Admitting an Autotopism Subgroup Isomorphic to A5

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Abstract

We develop an approach to constructing and classifying semifield projective planes with the use of a spread set. The famous conjecture is discussed on the solvability of the full collineation group of a finite semifield nondesarguesian plane. We construct a matrix representation of a spread set of a semifield plane of odd order admitting an autotopism subgroup isomorphic to the alternating group A5 and find a series of semifield planes of odd order not admitting A5.

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Authors and Affiliations

  1. Siberian Federal University, Krasnoyarsk, Russia

    O. V. Kravtsova & B. K. Durakov

Authors
  1. O. V. Kravtsova
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  2. B. K. Durakov
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Correspondence to O. V. Kravtsova.

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Original Russian Text Copyright © 2018 Kravtsova O.V. and Durakov B.K.

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Kravtsova, O.V., Durakov, B.K. A Semifield Plane of Odd Order Admitting an Autotopism Subgroup Isomorphic to A5. Sib Math J 59, 309–322 (2018). https://doi.org/10.1134/S0037446618020143

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  • DOI: https://doi.org/10.1134/S0037446618020143

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