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A classification of the automorphism groups of polarized abelian threefolds over finite fields
WonTae Hwang, Bo-Hae Im, Hansol Kim
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.
Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic
WonTae Hwang
We compute and provide a detailed description on the Jordan constants of the multiplicative subgroup of quaternion algebras over number fields of small degree. As an application, w…
Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups
WonTae Hwang, Kyunghwan Song
For each Sophie Germain prime we construct an absolutely simple polarized abelian variety of dimension over a finite field, whose automorphism group is a cyclic gro…
On the automorphism groups of simple polarized abelian fourfolds over finite fields and Jordan constants
WonTae Hwang
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 fiel…