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A note on induced central extensions

Published online by Cambridge University Press:  17 April 2009

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

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A characterization of induced central extensions which gives an explicit relationship between induced central extensions and n-stem extensions is obtained. Using the characterization, necessary and sufficient conditions for a central extension of an abelian group by a nilpotent group of class n to be a Baer sum of an induced central extension and an extension of class n are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 3 , June 1979 , pp. 411 - 420
Copyright
Copyright © Australian Mathematical Society 1979

References

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