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Third Engel groups and the Macdonald-Neumann conjecture

Published online by Cambridge University Press:  17 April 2009

S. Bachmuth  and
H.Y. Mochizuki
S. Bachmuth
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California, USA.
H.Y. Mochizuki
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California, USA.
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Abstract

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There exists a non-solvable group which is third Engel. More generally, the existence of a non-solvable group in which every n-generator subgroup is nilpotent of class at most 2n - 1 is confirmed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 3 , December 1971 , pp. 379 - 386
Copyright
Copyright © Australian Mathematical Society 1971

References

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