Combinatorial Group Theory lives in the fertile region between pure group theory and pure topology. The interplay between the logical precision of algebra and the intuitive depths of geometry gives it charm and strength. Lyndon suggests in his article that perhaps there is no exact definition of the subject. Certainly it includes the study of equations over groups (which tends to involve the study of geometric diagrams), much of 3-manifold theory (the Poincard Conjecture is equivalent to a group-theoretic question), group actions on geometric-combinatorial objects such as trees, the theory of surface automorphisms, and many other developments. As the Walrus said, the time has come to talk of many things.

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