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Marginal series in groups*

Published online by Cambridge University Press:  14 February 2012

J. A. Hulse  and
J. C. Lennox
J. A. Hulse
Affiliation:
Mathematical Institute, University of Edinburgh
J. C. Lennox
Affiliation:
Mathematics Institute, University College, Cardiff
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Synopsis

We consider the generalisation from central series to marginal series in groups and set up firstly various basic results. The main section of the paper is concerned with the study of which group theoretical properties may be transferred from a marginal factor in a group to the corresponding verbal subgroup and which properties may be transferred from one factor of a lower marginal series to successive factors of the series.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 2 , 1977 , pp. 139 - 154
Copyright
Copyright © Royal Society of Edinburgh 1977

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