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On prime-power groups in which the derived group has two generators

Published online by Cambridge University Press:  24 October 2008

N. Blackburn
N. Blackburn
Affiliation:
Trinity CollegeCambridge
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Extract

Burnside ((1), p. 241) has proved the following theorem:

If G is a non-metabelian p-group, then the centre of the derived group of G cannot be cyclic. In particular, a non-Abelian group of order p3 cannot be the derived group of a p-group.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 19 - 27
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

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