Hostname: page-component-7b7567c8c-lpg2g Total loading time: 0 Render date: 2026-11-15T22:10:45.672Z Has data issue: false hasContentIssue false
  • English
  • Français

Projective modular representations of finite groups II

Published online by Cambridge University Press:  18 May 2009

J. F. Humphreys
J. F. Humphreys
Affiliation:
Department of Pure Mathematics, University of Liverpool
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 this paper, which is a continuation of [4], the necessary theoretical background is given to enable the calculation of the irreducible Brauer projective characters of a given finite group to be carried out. As an example, this calculation is done for the alternating group A (7) in §3. In a future paper the calculations for the Mathieu groups will be presented.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 22 , Issue 1 , January 1981, pp. 89 - 99
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981

References

REFERENCES

1.Asano, K., Osima, M. and Takahasi, M., Über die Darstellung von Gruppen durch Kollineationen im Körpern der Characteristik p, Proc. Phys.-Math. Soc. Japan 19 (1937), 199–209.Google Scholar
2.Brauer, R. and Nesbitt, C., On the modular characters of groups, Ann. of Math. 42 (1941), 556–590.CrossRefGoogle Scholar
3.Dornhoff, L., Group representation theory (Dekker, 1972).Google Scholar
4.Humphreys, J. F., Projective modular representations of finite groups, J. London Math. Soc. (2) 16 (1977), 51–66.CrossRefGoogle Scholar
5.Kerber, A., Representations of permutation groups I (Springer-Verlag, Berlin, 1971).CrossRefGoogle Scholar
6.Schur, I., Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitionen, J. Reine Angew. Math. 139 (1911), 155–250.CrossRefGoogle Scholar