On real and rational characters in blocks

Gabriel Navarro; Geoffrey R. Robinson; Pham Huu Tiep

doi:10.1093/imrn/rnx170

On real and rational characters in blocks

Gabriel Navarro, Geoffrey R. Robinson, Pham Huu Tiep

Mathematics

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

1 Scopus citations

Abstract

The principal $p$-block of a finite group $G$ contains only one real-valued irreducible ordinary character exactly when $G/{{\bf O}-{p'}(G)}$ has odd order. For $p \ne 3$, the same happens with rational-valued characters. We also prove an analogue for $p$-Brauer characters with $p \geq 3$.

Original language	English (US)
Pages (from-to)	1955-1973
Number of pages	19
Journal	International Mathematics Research Notices
Volume	2019
Issue number	7
DOIs	https://doi.org/10.1093/imrn/rnx170
State	Published - Apr 1 2019

Keywords

20C15
20C20

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rnx170

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