Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-29T06:05:45.378Z Has data issue: false hasContentIssue false
  • English
  • Français

On the construction of matrix representations and their extensions II

Published online by Cambridge University Press:  18 May 2009

Eric B. Kuisch
Eric B. Kuisch
Affiliation:
Faculteit Wiskunde & Informatica, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 3 , September 1991 , pp. 323 - 341
Copyright
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
3.Huppert, B., Endliche Gruppen I (Springer-Verlag, 1967).CrossRefGoogle Scholar
4.Isaacs, I. M., Character theory of finite groups (Academic Press, 1976).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
6.Scharlau, W., Quadratic and hermitian forms (Springer-Verlag, 1985).CrossRefGoogle Scholar