A NOTE ON THE NUMBER OF ZEROS IN THE COLUMNS OF THE CHARACTER TABLE OF A GROUP

DOI10.1142/S0219498812501502zbMath1263.20007MaRDI QIDQ4909154

Jin-Shan Zhang, Shu-Lin Wu, Zhencai Shen

Publication date: 12 March 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite groupsfinite soluble groupsirreducible characterscharacter tableszeros of charactersnumbers of zeros

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Cites Work

• Classification of finite groups according to the number of conjugacy classes
• Characterization of non-nilpotent groups with two irreducible character degrees.
• On Camina groups of prime power order
• On the orders of zeros of irreducible characters.
• Finite groups whose irreducible characters vanish on at most three conjugacy classes
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• Zeros of characters of finite groups
• Endliche Gruppen I
• Unnamed Item

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