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Dimension-Preserving Extensions of Pro-p-Groups

Published online by Cambridge University Press:  20 November 2018

Tilmann Würfel
Tilmann Würfel*
Affiliation:
Pennsylvania State University Delaware Co. Campus Media, PA 19063 USA
*
Current address: Universitat der Bundeswehr Munchen Fakultat fur Informatik D-8014 Neubiberg West Germany
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Abstract

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We investigate extensions of pro-p-groups 1 —> N —> G —> Γ —> 1 where N is pro-p-free and Nab, is a free Zp[Γ]-module. In case Γ is finite we show that such an extension splits modulo the second derived group N".

Keywords

20E1820J06
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 136 - 140
Copyright
Copyright © Canadian Mathematical Society 1991

References

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