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Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic

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, we determine the Jordan constants of the multiplicative subgroup of the endomorphism algebras of simple abelian surfaces over fields of positive characteristic.

preprint2020arXivOpen access
WonTae Hwang
math.GRmath.AGmath.NT
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WonTae Hwang

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