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Minimal verbal subgroups

Published online by Cambridge University Press:  24 October 2008

L. G. Kovács  and
M. F. Newman
L. G. Kovács
Affiliation:
Australian National University
M. F. Newman
Affiliation:
Australian National University
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Extract

Introduction. In this note we obtain a description of the structure of the minimal verbal subgroups of a finite group which has, among others, the following consequences:

Theorem 1. A finite group which belongs to the variety generated by its proper subgroups and proper factor-groups belongs either to the variety generated by its proper subgroups or to the variety generated by its proper factor-groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 347 - 350
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

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