Publication details
A solution to Brauer's Problem 14
- authored by
- John Murray, Benjamin Sambale
- 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 g12…gn2=1 with g1,…,gn∈G.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Maynooth University
- Type
- Article
- Journal
- Journal of algebra
- Volume
- 621
- Pages
- 87-91
- No. of pages
- 5
- ISSN
- 0021-8693
- Publication date
- 01.05.2023
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2212.08357 (Access:
Open)
https://doi.org/10.1016/j.jalgebra.2023.01.016 (Access: Closed)
