We have collected here over 150 open problems in combinatorial group theory, and we invite the mathematical community to submit more problems as well as comments, suggestions, and/or criticism. Please send us e-mail at daly@rio.sci.ccny.cuny.edu

This collection of problems has been selected by G.Baumslag, A.Miasnikov and V.Shpilrain with the help of several members and friends of the New York Group Theory Cooperative. In particular, we are grateful to G.Bergman, G.Conner, W.Dicks, R.Gilman, I.Kapovich, V. Remeslennikov, V.Roman'kov, E.Ventura and D.Wise for useful comments and discussions.

Our policy

Hall of Fame
 

We have arranged the problems under the following headings:
 

Outstanding Problems

Free groups

One-relator groups

Finitely presented groups

Braid groups

Growth

Equations in and over groups

Algorithmic problems

Periodic groups (under construction)

Groups of matrices

Hyperbolic and automatic groups

Nilpotent groups

Metabelian groups

Solvable groups

Group actions