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A classification of the automorphism groups of polarized abelian threefolds over finite fields
Institution:1. Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54896, South Korea;2. Dept. of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, South Korea;1. Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People''s Republic of Korea;2. PGItech Corp., Pyongyang, Democratic People''s Republic of Korea;3. Department of Mathematics, University of Paris VIII, F-93526 Saint-Denis, France;4. University Sorbonne Paris Cité, LAGA, UMR 7539, CNRS, 93430 Villetaneuse, France;5. Telecom Paris, Polytechnic Institute of Paris, 91120 Palaiseau, France;1. Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, 291 Daehak-ro Yuseong-gu, 34141, Daejeon, South Korea;2. Department of Mathematical Science, Ulsan National Institute of Science and Technology, Unist-gil 50, Ulsan 44919, South Korea;3. Department of Mathematics, Duksung Women''s University, 33 Samyang-ro 144-gil, Seoul, South Korea;4. Center for Mathematical Challenges, Korea Institute for Advanced Study, 85 Hoegi-ro, Seoul, South Korea;1. Sabanc? University, Istanbul, Turkey;2. University of Auckland, Auckland, New Zealand;1. Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alberta, T1K 3M4, Canada;2. Department of Mathematics, National Defense Academy of Japan, Yokosuka, Kanagawa 239-8686, Japan
Abstract:We give a classification of maximal elements of the set of finite groups that can be realized as the automorphism groups of polarized abelian threefolds over finite fields.
Keywords:Polarized abelian varieties over finite fields  Automorphism groups
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