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arXiv · 2212.08357

A solution to Brauer's Problem 14

John Murray·Benjamin Sambale
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Abstract

It is well known that the number of real irreducible characters of a finite group G coincides with the number of real conjugacy classes of G. Richard Brauer has asked if the number of irreducible characters with Frobenius-Schur indicator 1 can also be expressed in group theoretical terms. We show that this can done by counting solutions of $g_1^2\ldots g_n^2=1$ with $g_1,\ldots,g_n\in G$.

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John Murray, Benjamin Sambale. 2022-12-16. A solution to Brauer's Problem 14. https://arxiv.org/abs/2212.08357

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