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Coverings and coverings

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

J. L. Alperin  and
George Glauberman
J. L. Alperin
Affiliation:
Department of Mathematics, University of Chicago, 5734 University of Avenue, Chicago, IL 60637, U.S.A
George Glauberman
Affiliation:
Department of Mathematics, University of Chicago, 5734 University of Avenue, Chicago, IL 60637, U.S.A
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Abstract

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Coverings of certain simplical complexes constructed from subgroups of group G are related to covering groups of G.

MSC classification

Secondary: 20D99: None of the above, but in this section 20D25: Special subgroups (Frattini, Fitting, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 57 , Issue 1 , August 1994 , pp. 125 - 128
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Alperin, J. L., ‘A Lie approach to finite groups’, in: Groups - Canberra 1989 (ed. Kovács, L. G.), Lecture Notes in Math. 1456 (Springer-Verlag, Berlin, 1990) pp. 1–8.Google Scholar
[2]Bouc, S., ‘Homologie de certains ensembles de 2-sous-groupes des groupes symmetriques’, J. Algebra 150 (1992), 158–186.CrossRefGoogle Scholar
[3]Hilton, P. J., and Wylie, S., Homology theory (Cambridge Univ. Press, 1967).Google Scholar