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On character values in finite groups

Published online by Cambridge University Press:  17 April 2009

Marcel Herzog  and
Cheryl E. Praeger
Marcel Herzog
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT;
Cheryl E. Praeger
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
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Abstract

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Let u be a nonidentity element of a finite group G and let c be a complex number. Suppose that every nonprincipal irreducible character X of G satisfies either X(l) − X(u) = c or X(u) = 0. It is shown that c is an even positive integer and all such groups with c ≤ 8 are described.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 17 , Issue 3 , December 1977 , pp. 451 - 461
Copyright
Copyright © Australian Mathematical Society 1977

References

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