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An analogy between products of two conjugacy classes and products of two irreducible characters in finite groups

Published online by Cambridge University Press:  20 January 2009

Zvi Arad  and
Elsa Fisman
Zvi Arad
Affiliation:
Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel
Elsa Fisman
Affiliation:
Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel
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It is well-known that the number of irreducible characters of a finite group G is equal to the number of conjugate classes of G. The purpose of this article is to give some analogous properties between these basic concepts.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 7 - 22
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

1.Arad, Z., Chillag, D. and Moran, G., Groups with a small covering number, in Products of Conjugacy Classes in Groups (Arad, Z. and Herzog, M., eds.), Lecture Notes in Mathematics, Springer-Verlag, 1112 (1985 ), 222–244.CrossRefGoogle Scholar
2.Arad, Z. and Herzog, M. (eds.), Products of Conjugacy Classes in Groups (Lecture Notes in Mathematics, Springer-Verlag, 1112, 1985 ).CrossRefGoogle Scholar
3.Arad, Z., Herzog, M. and Stavi, J., Powers and products of conjugacy classes in groups, in Products of Conjugacy Classes in Groups (Z. Arad and M. Herzog, eds.), Lecture Notes in Mathematics, Springer-Verlag, 1112 (1985 ), 6–51.CrossRefGoogle Scholar
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