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Rossi-3_Rationals_Short.pdf
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Final Accepted Manuscript
Author
Rossi, DanAffiliation
Univ Arizona, Dept MathIssue Date
2018-02
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SPRINGER BASEL AGCitation
Rossi, D. Arch. Math. (2018) 110: 99. https://doi.org/10.1007/s00013-017-1127-zJournal
ARCHIV DER MATHEMATIKRights
© Springer International Publishing AG, part of Springer Nature 2017Collection Information
This 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 repository@u.library.arizona.edu.Abstract
We 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.Note
12 month embargo; published online: 07 December 2017ISSN
0003-889X1420-8938
Version
Final accepted manuscriptSponsors
NSF [DMS-1201374]Additional Links
http://link.springer.com/10.1007/s00013-017-1127-zae974a485f413a2113503eed53cd6c53
10.1007/s00013-017-1127-z