On the automorphism groups of simple polarized abelian fourfolds over finite fields and Jordan constants

Abstract

We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of simple polarized abelian fourfolds over finite fields. As an application, we compute the Jordan constants of the automorphism groups of simple abelian fourfolds over finite fields.

arXiv commentAny comments will be appreciated. This is an improved/(slightly)corrected version of the previously announced preprint. Also, the title is slightly changed. arXiv admin note: substantial text overlap with arXiv:1809.06251, arXiv:1901.04470