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We prove that free soluble groups of any classes and any ranks are equationally Noetherian. We describe algebraic sets in free metabelian groups and in wreath products of free abelian groups. Some results are proved joint with Kanta Gupta and some with Vladimir Remeslennikov.
The New York Group Theory Seminar and some of the associated conferences are supported by funds from the National Science Foundation, Dean of Science, Maria Tamargo and Dean of Engineering, Joe Barba.