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Projective Representations of Minimum Degree of Group Extensions

Published online by Cambridge University Press:  20 November 2018

Walter Feit  and
Jacques Tits
Walter Feit
Affiliation:
Institut des Hautes Etudes Scientifiques, Bures sur Yvette, France
Jacques Tits
Affiliation:
Institut des Hautes Etudes Scientifiques, Bures sur Yvette, France
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Let G be a finite simple group and let F be an algebraically closed field. A faithful projective F-representation of G of smallest possible degree often cannot be lifted to an ordinary representation of G, though it can of course be lifted to an ordinary representation of some central extension of G. It is a natural question to ask whether by considering non-central extensions, it is possible in some cases to decrease the smallest degree of a faithful projective representation.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 5 , 01 October 1978 , pp. 1092 - 1102
Copyright
Copyright © Canadian Mathematical Society 1978

References

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