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Hypercentral injectors in infinite soluble groups

Published online by Cambridge University Press:  20 January 2009

M. J. Tomkinson
M. J. Tomkinson
Affiliation:
University of Glasgow
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The Carter subgroups of a finite soluble group may be characterised either as theself-normalising nilpotent subgroups or as the nilpotent projectors. Subgroups with properties analogous to both of these have been considered by Newell (2, 3) in the class of -groups. The results obtained are necessarily less satisfactory than in the finite case, the subgroups either being almost self-normalising (i.e. having finite index in their normaliser) or having an almost-covering property. Also the subgroups are not necessarily conjugate but lie in finitely many conjugacy classes.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 3 , October 1979 , pp. 191 - 194
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

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