Automorphism Groups of Simple Abelian Fourfolds over Finite Fields and Jordan Constants

Won Tae Hwang

doi:10.1007/s00031-022-09702-2

Automorphism Groups of Simple Abelian Fourfolds over Finite Fields and Jordan Constants

Won Tae Hwang^*

^*Corresponding author for this work

Department of Mathematics

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

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.

Original language	English
Pages (from-to)	717-742
Number of pages	26
Journal	Transformation Groups
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s00031-022-09702-2
State	Published - 2024.06

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1007/s00031-022-09702-2

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title = "Automorphism Groups of Simple 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.",

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

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022.",

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N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022.

PY - 2024/6

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AB - 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.

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Automorphism Groups of Simple Abelian Fourfolds over Finite Fields and Jordan Constants

Abstract

Quacquarelli Symonds(QS) Subject Topics

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