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Basis normalizers and Carter subgroups in a class of locally finite groups

Published online by Cambridge University Press:  24 October 2008

C. J. Graddon  and
B. Hartley
C. J. Graddon
Affiliation:
Mathematics Institute, University of Warwick, Coventry
B. Hartley
Affiliation:
Mathematics Institute, University of Warwick, Coventry
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Extract

We shall be working throughout this paper in the class of locally finite groups introduced in (3) and further discussed in (5) and (6), and all groups appearing will be assumed to belong to this class. By definition, is the largest subgroupclosed class of locally finite groups satisfying the conditions:

U1. If G ε then G has a finite series

with locally nilpotent factors.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 189 - 198
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

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