Central product of UT(3,Z) and Q
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This group is defined as an external central product of unitriangular matrix group:UT(3,Z) with the group of rational numbers , where we identify the full center of the first group with the subgroup in the latter (see Z in Q).
|exponent||infinite (elements of infinite order)|
|abelian group||any two elements commute||No|
|group of nilpotency class two||Yes|