Third Engel groups and the Macdonald-Neumann conjecture

Author:

Bachmuth S.,Mochizuki H.Y.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. On finite groups of exponent five

2. [3] Gupta N.D. , “Third Engel 2-groups are soluble”, Canad. Math. Bull. (to appear).

3. On groups of exponent four

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