Finite groups with three rational conjugacy classes
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Rossi-3_Rationals_Short.pdf
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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