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Completions of certain nilpotent groups

Part of: Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Siegfried Moran  and
Janet Williams
Siegfried Moran
Affiliation:
The University CanterburyKent, United Kingdom
Janet Williams
Affiliation:
The University CanterburyKent, United Kingdom
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Abstract

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The completions of certain nilpotent groups with respect to some ascending sequences of integral domains are constructed. These completions are generalizations of Lazard completions for the groups under consideration and they are Lie algebras over the first integral domain in the sequence. The construction is possible in particular for finite p-groups of exponent p and class < p.

MSC classification

Secondary: 20E15: Chains and lattices of subgroups, subnormal subgroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 4 , December 1979 , pp. 461 - 470
Copyright
Copyright © Australian Mathematical Society 1979

References

Referneces

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Moran, S. (1973), ‘Some subalgebra theorems’, J. Algebra 27, 366–371.CrossRefGoogle Scholar
Warfield, R. B. Jr (1976), Nilpotent groups (Lecture Notes in Mathematics 513, Springer-Verlag, Berlin).CrossRefGoogle Scholar