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Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

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We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can… Click to show full abstract

We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.

Keywords: groups simple; finite; automorphism; automorphism groups; simple polarized; polarized abelian

Journal Title: Journal of Number Theory
Year Published: 2019

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