On a Conjecture of Hanna Neumann

B. H. Neumann

doi:10.1017/S2040618500033384

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In what follows, groups are written additively, and commutators are denoted by brackets:

A group is metabelian if it satisfies the law

It is conceivable, though not plausible, that this law is equivalent to a law, or a set of laws, in only three variables, or even two. The present note shows that this is not the case.

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On a Conjecture of Hanna Neumann

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