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On the construction of matrix representations and their extensions II
Published online by Cambridge University Press: 18 May 2009
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In [5] we exhibited the construction of faithful irreducible matrix representations of p-groups E and constructed their extensions to a semidirect product E. H, in case E and H satisfied suitable conditions. One of the major conditions was that the prime p had to be odd.
In this paper we assume the same conditions as in [5], but now with p = 2, in order to see if similar results can be obtained. Henceforth we will work with the following hypothesis.
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- Copyright © Glasgow Mathematical Journal Trust 1991
References
REFERENCES
1.Dade, E. C., Characters of groups with normal extra special subgroups, Math. Z. 152 (1976), 1–31.CrossRefGoogle Scholar
2.Howlett, R. B., Extending characters from normal subgroups, Lecture Notes in Mathematics No. 697 (Springer-Verlag, 1978).Google Scholar
5.Kuisch, E. B., On the construction of matrix representations and their extensions, Indagationes Mathematicae New Series 1 (1990), to appear.Google Scholar
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