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A rational property of the irreducible characters of a finite group

Published online by Cambridge University Press:  05 July 2011

M. R. Darafsheh
Affiliation:
University of Tehran, Iran
A. Iranmanesh
Affiliation:
Tarbiat Modares University, Iran
S. A. Moosavi
Affiliation:
Tarbiat Modares University, Iran
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
G. C. Smith
Affiliation:
University of Bath
G. Traustason
Affiliation:
University of Bath
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Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] Ya. G., Berkovich and E. M., Zhmud, Characters of finite groups, Part I, Translations of Mathematical Monographs 172, American Mathematical Society Providence, RI, 1998.Google Scholar
[2] A. R., Camina, Some conditions which almost characterize Frobenius groups, Israel J. Math. 31 (1978), no. 2, 153–160.Google Scholar
[3] J. H., Conway, R. T., Curtis, S. P., Norton, R. A., Parker and R. A., Wilson, Atlas of finite groups, Oxford University Press, 1985.Google Scholar
[4] M. R., Darafsheh and H., Sharifi, Frobenius ℚ-groups, Arch. Math. (Basel) 83 (2004), 102–105Google Scholar
[5] M. R., Darafsheh, A., Iranmanesh and S. A., Moosavi, 2-Frobenius ℚ-group, Indian J. Pure Appl. Math. 40 (2009), 29–34.Google Scholar
[6] W., Feit and G. M., Seitz, On finite rational groups and related topics, Illinois J. Math. 33 (1989), no. 1, 103–131.Google Scholar
[7] I. M., Isaacs, Character theory of finite groups, Academic Press, New York, 1976.Google Scholar
[8] F., Ladisch, Groups with anticentral elements, Comm. Algebra 36 (2008), 2883–2894.Google Scholar

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