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Engel-like elements in infinite soluble groups

Published online by Cambridge University Press:  20 January 2009

Rolf R. A. Brandl  and
Christopher J. B. Brookes
Rolf R. A. Brandl
Affiliation:
Mathematisches InstitutAm Hubland 12 D-8700 Würzburg, West Germany
Christopher J. B. Brookes
Affiliation:
Corpus Christi CollegeCambridge CB2 1RHEngland
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In [1] the first author considered the following Engel-like condition for a pair of elements x, y of a group G.

There exist r = r(x, y)≧0 and d = d(x, y)≧1 such that[x,ry] = [x,r+dy]. (*)

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 3 , October 1989 , pp. 337 - 343
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

REFERENCES

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