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Groups whose Projective character degrees are powers of a prime

Published online by Cambridge University Press:  18 May 2009

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Let Gbe a finite group, and P:GGL(n, ) be such that for all x, yG

(i) P(x)P(y) = α(x, y)P(xy), and

(ii)P(l) = In,

where α(x, y) ∈ *; then P is a projective representation of G with cocycle α and degree n. For other basic definitions concerning projective representations see [4].

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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