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

WonTae Hwang

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arXiv · 2004.03594

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

WonTae Hwang

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Abstract

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.

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WonTae Hwang. 2020-04-07. Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic. https://arxiv.org/abs/2004.03594

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