AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherSPRINGER BASEL AG
CitationRossi, D. Arch. Math. (2018) 110: 99. https://doi.org/10.1007/s00013-017-1127-z
JournalARCHIV DER MATHEMATIK
Rights© Springer International Publishing AG, part of Springer Nature 2017
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractWe show that if a finite group G has exactly three rational conjugacy classes, then G also has exactly three rational-valued irreducible complex characters. This generalizes a result of Navarro and Tiep (Trans Amer Math Soc 360:2443-2465, 2008) and partially answers in the affirmative a conjecture of theirs. We also give a family of examples of non-solvable groups with exactly three rational conjugacy classes.
Note12 month embargo; published online: 07 December 2017
VersionFinal accepted manuscript