Date: Mon, 21 Oct 1996 11:45:22 +0100
From: Juergen 
Organization: Institut f. Mathematik
Subject: products of commutators
 
Hi,
 
If I have a nilpotent group of class 2 (i.e. the commutator subgroup is
nontrivial but abelian), then it seems to me that the product of two
commutators must again be a commutator always (i.e. the set of
commutators is closed under multiplication).
 
Some investigations on 2-groups up to order 2^8 and 3-groups up to order
3^5 and 5-groups of order 5^3 showed that this was true at least for
these small examples.
 
Does anybody have a counterexample at hand or the reference of a proof
of this fact.
 
-- 
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|Juergen Ecker - Institut fuer Mathematik - Univ. Linz - Austria |
|              - e-mail juergen@bruckner.stoch.uni-linz.ac.at    |
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