The largest cap in AG 4 4 and its uniqueness Yves Edel


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    • Author:  by Mathematisches Institut Der  Yves Edel  Jurgen Bierbrauer  

    • Abstract:  We show that 40 is the maximum number of points of a cap in AG(4; 4): Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect product of an elementary abelian group of order 16 and the alternating group A 5 : 1

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