Groups Whose Nonlinear Irreducible p-Brauer Characters are Real Valued

REFERENCES

• Iwasaki , S. ( 1979 ). On finite groups with exactly two real conjugate classes . Arch. Math. 33 : 512 – 517 .
   Web of Science ®Google Scholar
• Moretó , A. , Navarro , G. ( 2008 ). Groups with three real valued irreducible characters . Isr. J. Math. 163 : 85 – 92 .
   Web of Science ®Google Scholar
• Navarro , G. , Sanus , L. , Tiep , P. H. ( 2007 ). Groups with two real Brauer characters . J. Algebra 307 : 891 – 898 .
   Web of Science ®Google Scholar
• Berkovich , Ya. G. , Zhmud′ , E. M. ( 1998 ). Characters of Finite Groups. Part I . Providence : American Mathematical Society .
   Google Scholar
• Gow , R. ( 1976 ). Groups whose characters are rational-valued . J. Algebra 40 : 280 – 299 .
   Web of Science ®Google Scholar
• Darafshen , M. R. , Sharifi , H. ( 2004 ). Frobenius ℚ-groups . Arch. Math. 83 : 102 – 105 .
   Web of Science ®Google Scholar
• Darafshen , M. R. , Iranmanesh , A. , Moosavi , S. A. ( 2009 ). 2-Frobenius ℚ-groups . Indian J. Pure Appl. Math. 40 : 29 – 34 .
   Web of Science ®Google Scholar
• Darafshen , M. R. , Iranmanesh , A. , Moosavi , S. A. ( 2010 ). Groups whose non-linear irreducible characters are rational valued . Arch. Math. 94 : 411 – 418 .
   Web of Science ®Google Scholar
• Berggren , J. L. ( 1969 ). Finite groups in which every element is conjugate to its inverse . Pacific J. Math. 28 : 289 – 293 .
   Web of Science ®Google Scholar
• Chillag , D. , Mann , A. ( 1998 ). Nearly odd-order and nearly real finite groups . Comm. Algebra 26 : 2041 – 2064 .
   Web of Science ®Google Scholar
• Hegedüs , P. ( 2005 ). Structure of solvable rational groups . Proc. London Math. Soc., (3) 90 : 439 – 471 .
   Web of Science ®Google Scholar
• Kuisch , E. B. , Van Der Waall , R. W. ( 1996 ). Modular Frobenius groups . Manuscripta Math. 90 : 403 – 427 .
   Web of Science ®Google Scholar
• Juanjuan , F. , Ni , D. , Jiwen , Z. ( 2012 ). The classification of some modular Frobenius groups . Bull. Aust. Math. Soc. 85 : 11 – 18 .
   Web of Science ®Google Scholar
• Isaacs , I. M. ( 1976 ). Character Theory of Finite Groups . New York : Academic Press .
   Google Scholar
• Navarro , G. ( 1998 ). Characters and Blocks of Finite Groups . Cambridge : Cambridge University Press .
   Google Scholar
• Navarro , G. , Tiep , P. H. ( 2006 ). Rational Brauer characters . Math. Ann. 335 : 675 – 686 .
   Web of Science ®Google Scholar
• Communicated by J. Zhang.
   Google Scholar