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Unisingular representations of rank 1 finite simple groups of Lie type.

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Τίτλος: Unisingular representations of rank 1 finite simple groups of Lie type.
Συγγραφείς: Pellegrini, Marco Antonio1 (AUTHOR), Schena, Lorenzo2 (AUTHOR) lorenzo.schena@rwth-aachen.de
Πηγή: Communications in Algebra. Jul2026, p1-30. 30p.
Θεματικοί όροι: *Finite simple groups, *Representations of groups (Algebra), *Sporadic groups (Mathematics), *Representation theory
Περίληψη: AbstractA representation Φ:G→GLn(F) of a finite group G is called unisingular if the matrix Φ(g) admits 1 as an eigenvalue for any g∈G. In this paper, we determine all the complex irreducible unisingular representations of the finite simple groups of Lie type of rank 1 and of the almost simple sporadic groups. [ABSTRACT FROM AUTHOR]
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  Data: Unisingular representations of rank 1 finite simple groups of Lie type.
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  Data: AbstractA representation Φ:G→GLn(F) of a finite group G is called unisingular if the matrix Φ(g) admits 1 as an eigenvalue for any g∈G. In this paper, we determine all the complex irreducible unisingular representations of the finite simple groups of Lie type of rank 1 and of the almost simple sporadic groups. [ABSTRACT FROM AUTHOR]
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      – Type: doi
        Value: 10.1080/00927872.2026.2702015
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 30
        StartPage: 1
    Subjects:
      – SubjectFull: Finite simple groups
        Type: general
      – SubjectFull: Representations of groups (Algebra)
        Type: general
      – SubjectFull: Sporadic groups (Mathematics)
        Type: general
      – SubjectFull: Representation theory
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      – TitleFull: Unisingular representations of rank 1 finite simple groups of Lie type.
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            NameFull: Pellegrini, Marco Antonio
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            NameFull: Schena, Lorenzo
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          Dates:
            – D: 29
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
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            – TitleFull: Communications in Algebra
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