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Characters of Finite Groups. Part 2

About this Title

Ya. G. Berkovich, University of Haifa, Haifa, Israel and E. M. Zhmud′, Kharkov University, Kharkov, Ukraine. Translated by Ya. G. Berkovich and V. Zobina

Publication: Translations of Mathematical Monographs
Publication Year: 1999; Volume 181
ISBNs: 978-0-8218-0532-9 (print); 978-1-4704-4595-9 (online)
DOI: https://doi.org/10.1090/mmono/181
MathSciNet review: MR1650707
MSC: Primary 20C15

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Table of Contents

Front/Back Matter

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Chapters

• Degrees and kernels of irreducible characters
• Involutions
• Connectedness and Zassenhaus groups
• The Nagao theorem
• Linear groups
• Permutation characters
• Characters of SL$(2,p^n)$
• Zeros of characters
• The Schur index
• On degrees of irreducible components of induced characters
• Groups in which only two nonlinear irreducible characters have equal degrees
• Groups with small sums of degrees of some characters
• On sums of degrees of irreducible characters
• Groups whose nonlinear irreducible characters take three distinct values
• Nonsolvable groups with many involutions
• On kernels of nonlinear irreducible characters
• On monolithic characters
• The class number
• Problems

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