Date: Mon, 21 Oct 1996 11:45:22 +0100 From: JuergenOrganization: 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. -- +----------------------------------------------------------------+ |Juergen Ecker - Institut fuer Mathematik - Univ. Linz - Austria | | - e-mail juergen@bruckner.stoch.uni-linz.ac.at | +----------------------------------------------------------------+