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Blocks and Normal Subgroups of Finite Groups

Published online by Cambridge University Press:  22 January 2016

W. F. Reynolds
W. F. Reynolds*
Affiliation:
Tufts University
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Let H be a normal subgroup of a finite group G, and let ζ be an (absolutely) irreducible character of H. In [7], Clifford studied the irreducible characters X of G whose restrictions to H contain ζ as a constituent. First he reduced this question to the same question in the so-called inertial subgroup S of ζ in G, and secondly he described the situation in S in terms of certain projective characters of S/H. In section 8 of [10], Mackey generalized these results to the situation where all the characters concerned are projective.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 22 , June 1963 , pp. 15 - 32
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

References

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