A note on finite groups with few values in a column of the character table
Mariagrazia Bianchi, David Chillag, Emanuele Pacifici (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Groups with only two nonlinear non-faithful irreducible characters”
A note on finite groups with few values in a column of the character table
On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes.
Geck, Meinolf (1996)
Documenta Mathematica
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A remark on the irreducible characters and fake degrees of finite real reflection groups.
E.M. Opdam (1995)
Inventiones mathematicae
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Finite groups with a unique nonlinear nonfaithful irreducible character
Ali Iranmanesh, Amin Saeidi (2011)
Archivum Mathematicum
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In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then is solvable.
A characterization of in terms of the number of character zeros.
Qian, Guohua, Shi, Wujie (2009)
Beiträge zur Algebra und Geometrie
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Isométrics parfaites entre blocs de groupes linéaires ou unitaires.
Michel Enguehard (1991)
Mathematische Zeitschrift
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Finite groups with eight non-linear irreducible characters
Yakov Berkovich (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.
Basic Sets of Brauer Characters of finite groups of Lie type, III.
Meinolf Geck (1994)
Manuscripta mathematica
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Constituents of the product of characters in odd order groups.
Gabriel Navarro (1995)
Journal für die reine und angewandte Mathematik
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Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree
Marco Antonio Pellegrini (2007)
Bollettino dell'Unione Matematica Italiana
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In this paper we classify the finite simple groups that admit an irreducible complex character of prime power degree which is reducible over any proper sub-group.