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A theorem of Thompson on isomorphisms induced by automorphisms

Published online by Cambridge University Press:  17 April 2009

L.R. Vermani
L.R. Vermani
Affiliation:
Department of Mathematics, Kurukshetra University, Kurukshetra, India.
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Abstract

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Using homological methods (and in particular the 5-term sequence of Hochschild-Serre in the homology of groups) a generalization of the theorem of John G. Thompson (J. Austral. Math. Soc. 16 (1973), 16–17) referred to in the title is proved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 14 , Issue 3 , June 1976 , pp. 379 - 381
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Gruenberg, Karl W., Cohomological topics in group theory (Lecture Notes in Mathematics, 143. Springer-Verlag, Berlin, Heidelberg, New York, 1970).Google Scholar
[2]Stammbach, Urs, Homology in group theory (Lecture Notes in Mathematics, 359. Springer-Verlag, Berlin, Heidelberg, New York, 1973).Google Scholar
[3]Thompson, John G., “Isomorphisms induced by automorphisms”, J. Austral. Math. Soc. 16 (1973), 16–17.Google Scholar