Algebra VII pp 172-186 | Cite as

Equations in Groups and Some Related Questions

  • A. N. Parshin
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 58)


Equations in groups play an important part in many applied questions of algebra and logic. The development of this theory is also connected with intrinsic problems in the theory of groups. The greatest progress has been in the theory of equations in free groups, and in the main it is to the latter that we shall devote our attention in this chapter.


Free Group Quadratic Equation Homotopy Class Hyperbolic Group Parametric Solution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • A. N. Parshin
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

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