Baer Lie property is not quotient-closed
This article gives the statement, and possibly proof, of a group property (i.e., Baer Lie group) not satisfying a group metaproperty (i.e., quotient-closed group property).
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Suppose is the group , the unitriangular matrix group of degree three over the field of rational numbers. Let be a central subgroup of that is isomorphic to , the group of integers. The quotient group is not a Baer Lie group: it is a group of nilpotency class exactly two that has 2-torsion.