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Isomorphisms induced by automorphisms

Published online by Cambridge University Press:  09 April 2009

John G. Thompson
John G. Thompson
Affiliation:
University of CambridgeEngland
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The object of this note is to record a property of finite, perfect, centrally closed groups, where, by definition, G si centrally closed if and only if whenever E/Z ≅ G and Z ⊆ E' ∩ Z(E), then Z = 1.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 1 , August 1973 , pp. 16 - 17
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Huppert, B., Endliche Gruppen, (Springer, 1967).CrossRefGoogle Scholar