Some conjectures on Frobenius' character sum:

Aner Shalev; Pham Huu Tiep

doi:10.1112/blms.12067

Some conjectures on Frobenius' character sum:

Aner Shalev, Pham Huu Tiep

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

Let G be a finite group and let gϵG. In 1896, Frobenius showed that the number of ways to express g as a commutator of elements of G is |G|FG(g), where FG(g)=∑χϵ Irr (G)χ(g)/χ(1) is the Frobenius character sum. This sum received particular attention in the case where G is a (non-abelian) finite simple group, and some related conjectures were posed. In this paper we discuss these conjectures, refute one of them, and provide partial evidence in favor of another one.

Original language	English
Pages (from-to)	895-902
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	49
Issue number	5
DOIs	https://doi.org/10.1112/blms.12067
State	Published - Oct 2017

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© 2017 London Mathematical Society.

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title = "Some conjectures on Frobenius' character sum:",

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Some conjectures on Frobenius' character sum:

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