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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Geck, Meinolf (1996)
Documenta Mathematica
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Gabriel Navarro (1988)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Mariagrazia Bianchi, David Chillag, Emanuele Pacifici (2006)
Rendiconti del Seminario Matematico della Università di Padova
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E.M. Opdam (1995)
Inventiones mathematicae
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Qian, Guohua, Shi, Wujie (2009)
Beiträge zur Algebra und Geometrie
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Michel Enguehard (1991)
Mathematische Zeitschrift
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Coelho, M.Purificação, Duffner, M.Antónia (1997)
Portugaliae Mathematica
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Xiaoyou Chen, Mark L. Lewis (2019)
Czechoslovak Mathematical Journal
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We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.
Jinshan Zhang, Zhencai Shen, Dandan Liu (2010)
Czechoslovak Mathematical Journal
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For a finite group and a non-linear irreducible complex character of write . In this paper, we study the finite non-solvable groups such that consists of at most two conjugacy classes for all but one of the non-linear irreducible characters of . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable -groups. As a corollary, we answer Research Problem in [Y. Berkovich and L. Kazarin:...