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

Won Tae Hwang

doi:10.1002/mana.202000183

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

Won Tae Hwang^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	560-573
Number of pages	14
Journal	Mathematische Nachrichten
Volume	295
Issue number	3
DOIs	https://doi.org/10.1002/mana.202000183
State	Published - 2022.03

Keywords

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

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1002/mana.202000183

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title = "Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic",

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.",

keywords = "abelian surfaces over fields of positive characteristic, Jordan groups and Jordan constants, quaternion algebras over number fields",

author = "Hwang, \{Won Tae\}",

note = "Publisher Copyright: {\textcopyright} 2022 Wiley-VCH GmbH",

year = "2022",

month = mar,

doi = "10.1002/mana.202000183",

language = "English",

volume = "295",

pages = "560--573",

journal = "Mathematische Nachrichten",

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TY - JOUR

T1 - Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic

AU - Hwang, Won Tae

PY - 2022/3

Y1 - 2022/3

N2 - 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.

AB - 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.

KW - abelian surfaces over fields of positive characteristic

KW - Jordan groups and Jordan constants

KW - quaternion algebras over number fields

UR - https://www.scopus.com/pages/publications/85124076236

U2 - 10.1002/mana.202000183

DO - 10.1002/mana.202000183

M3 - Journal article

AN - SCOPUS:85124076236

SN - 0025-584X

VL - 295

SP - 560

EP - 573

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 3

ER -

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

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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