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arxiv: 1901.04470 · v1 · pith:JIESKBWAnew · submitted 2019-01-12 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords groupsautomorphismfiniteabeliandimensionfieldspolarizedprime
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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 be realized as such automorphism groups.

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