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Connected algebraic subgroups of groups of birational transformations not contained in a maximal one.

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Title: Connected algebraic subgroups of groups of birational transformations not contained in a maximal one.
Authors: Fong, Pascal1 pascal.fong@unibas.ch, Zikas, Sokratis1 sokratis.zikas@unibas.ch
Source: Comptes Rendus. Mathématique. 2023, Vol. 361, p313-322. 10p.
Subjects: Transformation groups, Maximal subgroups
Abstract: We prove that for each n ≥ 2, there exist a ruled variety X of dimension n and a connected algebraic subgroup of Bir(X) which is not contained in a maximal one. [ABSTRACT FROM AUTHOR]
Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Connected algebraic subgroups of groups of birational transformations not contained in a maximal one.
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  Data: We prove that for each n ≥ 2, there exist a ruled variety X of dimension n and a connected algebraic subgroup of Bir(X) which is not contained in a maximal one. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.5802/crmath.406
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 313
    Subjects:
      – SubjectFull: Transformation groups
        Type: general
      – SubjectFull: Maximal subgroups
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      – TitleFull: Connected algebraic subgroups of groups of birational transformations not contained in a maximal one.
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              Text: 2023
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