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Normal embeddings of p-groups into p-groups

Published online by Cambridge University Press:  20 January 2009

Hermann Heineken
Hermann Heineken
Affiliation:
Mathematisches Institut der UniversitätD-8700 Würzburg, Germany
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Abstract

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A well known lemma of Burnside is generalised, to give necessary and sufficient conditions for a finite p-group K to be normally embedded in a nilpotent group V, with K⊆ω(V). (Here, ω denotes a single word and ω(V) is the corresponding verbal subgroup.) Our main result is related to earlier work of Blackburn, Gaschütz and Hobby.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 2 , June 1992 , pp. 309 - 314
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

REFERENCES

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