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Abstract.
This paper is a survey of known results (old and new) about equations over groups, mainly solvable groups. Current directions of research are discussed in some detail. A number of open questions are included.
Keywords: Equation; solution; solvability; free groups; nilpotent groups; solvable groups; finite approximability; verbal width; word map; asymptotic density
Received: 2012-06-22
Published Online: 2012-11-27
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
