On linear relations between character values

Marcel Herzog

doi:10.1016/0021-8693(77)90216-2

On linear relations between character values

Marcel Herzog^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Let s and u be nonconjugate elements of a finite group and let a, b, and c be complex numbers, ab ≠ 0. Groups satisfying aX(s) + bX(u) = c for every non-principal irreducible character X are completely classified. They are the PSL(2, 2ⁿ), n ≥ 2 and some solvable group of derived length at most 3.

Original language	English
Pages (from-to)	154-161
Number of pages	8
Journal	Journal of Algebra
Volume	47
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(77)90216-2
State	Published - Jul 1977
Externally published	Yes

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title = "On linear relations between character values",

abstract = "Let s and u be nonconjugate elements of a finite group and let a, b, and c be complex numbers, ab ≠ 0. Groups satisfying aX(s) + bX(u) = c for every non-principal irreducible character X are completely classified. They are the PSL(2, 2n), n ≥ 2 and some solvable group of derived length at most 3.",

author = "Marcel Herzog",

year = "1977",

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AB - Let s and u be nonconjugate elements of a finite group and let a, b, and c be complex numbers, ab ≠ 0. Groups satisfying aX(s) + bX(u) = c for every non-principal irreducible character X are completely classified. They are the PSL(2, 2n), n ≥ 2 and some solvable group of derived length at most 3.

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On linear relations between character values

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