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Generation of p-groups by elements of bounded breadth

Published online by Cambridge University Press:  14 November 2011

M. R. Vaughan-Lee  and
James Wiegold
M. R. Vaughan-Lee
Affiliation:
Christ Church, Oxford OX1 1DP
James Wiegold
Affiliation:
University College, Cardiff CF1 1XL
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Synopsis

The following conjecture of I. D. Macdonald is confirmed in this paper. If G is a finite ρ-group generated by elements of breadth at most n, then the nilpotency class of G is bounded in terms of nonly.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 215 - 221
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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