OPEN PROBLEMS
in combinatorial and geometric group theory

The original collection has been selected by G.Baumslag, A.Myasnikov and V.Shpilrain with the help of several other people. 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. We also acknowledge the NSF support through the grants DMS-0405105, DMS-0914778, CNS-1117675 that has helped us maintain this site.
We now have over 200 open problems in our collection, and we invite the mathematical community to submit more problems as well as comments, suggestions, and/or criticism. Please send us e-mail at wwalgebra@yahoo.com

HALL OF FAME
 

We have arranged the problems under the following headings:
 

OUTSTANDING PROBLEMS           Auxiliary Problems

FREE GROUPS

ONE-RELATOR GROUPS

FINITELY PRESENTED GROUPS

MAPPING CLASS GROUPS

GROWTH

EQUATIONS IN AND OVER GROUPS

ALGORITHMIC PROBLEMS

COMPLEXITY OF ALGORITHMS

GROUPS OF MATRICES

HYPERBOLIC AND AUTOMATIC GROUPS

NILPOTENT GROUPS

METABELIAN GROUPS

SOLVABLE GROUPS

GROUP ACTIONS


since 10/10/02
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