Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-05T21:59:47.671Z Has data issue: false hasContentIssue false
  • English
  • Français

Real projective representations of finite groups

Published online by Cambridge University Press:  24 October 2008

P. N. Hoffmann  and
J. F. Humphreys
P. N. Hoffmann
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
J. F. Humphreys
Affiliation:
Department of Pure Mathematics, The University of Liverpool, Liverpool L69 3BX
Get access Rights & Permissions [Opens in a new window]

Extract

The projective representations of a finite group G over a field K are divided into sets, each parametrized by an element of the group H2(G, Kx). The latter is the Schur multiplier M(G) when K = ℂ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 1 , January 1990 , pp. 27 - 32
Copyright
Copyright © Cambridge Philosophical Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Asano, K.. Über die Darstellungen einer endlichen Gruppe durch reelle Kollineationen. Proc. Imp. Acad. Japan 9 (1933), 574–576.Google Scholar
[2]Asano, K. and Shoda, K.. Zur Theorie der Darstellungen einer endlichen Gruppe durch Kollineationen. Compositio Math. 2 (1935), 230–240.Google Scholar
[3]Schur, I.. Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen. J. Reine Angew. Math. 127 (1904), 20–50.Google Scholar
[4]Schur, I.. Über die Darstellung der symmetrischen und der alternierenden Gruppen durch gebrochene lineare Substitutionen. J. Reine Angew. Math. 139 (1911), 155–250.Google Scholar