Third Engel groups and the Macdonald-Neumann conjecture

Publisher: Cambridge University Press

E-ISSN: 1755-1633|5|3|379-386

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.5, Iss.3, 1971-12, pp. : 379-386

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Abstract

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.