# Degrees, class sizes and divisors of character values

@article{Gallagher2012DegreesCS,
title={Degrees, class sizes and divisors of character values},
author={Patrick X. Gallagher},
journal={Journal of Group Theory},
year={2012},
volume={15},
pages={455 - 467}
}
• P. Gallagher
• Published 1 July 2012
• Mathematics
• Journal of Group Theory
Abstract. In the character table of a finite group there is a tendency either for the character degree to divide the conjugacy class size or the character value to vanish. There is also a partial divisibility where the determinant of the character is not 1. There are versions of these depending on a subgroup, based on an arithmetic property of spherical functions which generalizes the integrality of the values of the characters and the central characters.
6 Citations
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