Journal of the Ramanujan Mathematical Society

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Automorphisms of X(11) over Characteristic 3 and The Mathieu Group M11


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1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road Mumbai-400005, India
     

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We show that the automorphism group of the curve X(11) is the Mathieu group over a field of characteristic 3, containing a 11th ischolar_main of unity. As a consequence, we also exhibit a Galois covering of the affine line over characteristic 3, with Galois group M11
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  • Automorphisms of X(11) over Characteristic 3 and The Mathieu Group M11

Abstract Views: 209  |  PDF Views: 0

Authors

C. S. Rajan
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road Mumbai-400005, India

Abstract


We show that the automorphism group of the curve X(11) is the Mathieu group over a field of characteristic 3, containing a 11th ischolar_main of unity. As a consequence, we also exhibit a Galois covering of the affine line over characteristic 3, with Galois group M11