Contemporary Mathematics 1990; 191 pp; softcover Volume: 109 ISBN10: 0821851160 ISBN13: 9780821851166 List Price: US$49 Member Price: US$39.20 Order Code: CONM/109
 The AMS Special Session on Combinatorial Group TheoryInfinite Groups, held at the University of Maryland in April 1988, was designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results. The session reflected the vitality and interests in infinite group theory, with eighteen speakers presenting lectures covering a wide range of grouptheoretic topics, from purely logical questions to geometric methods. The heightened interest in classical combinatorial group theory was reflected in the sheer volume of work presented during the session. This book consists of eighteen papers presented during the session. Comprising a mix of pure research and exposition, the papers should be sufficiently understandable to the nonspecialist to convey a sense of the direction of this field. However, the volume will be of special interest to researchers in infinite group theory and combinatorial group theory, as well as to those interested in lowdimensional (especially threemanifold) topology. Table of Contents  G. Baumslag  Some reflections on finitely generated metabelian groups
 B. Fine and G. Rosenberger  Conjugacy separability of Fuchsian groups and related questions
 B. Fine, F. Rohl, and G. Rosenberger  Twogenerator subgroups of certain HNN groups
 T. Fournelle and K. Weston  A geometric approach to some group presentations
 A. Gaglione and D. Spellman  \(\gamma_n+1(F)\) and \(F/\gamma_n+1(F)\) revisited
 A. Gaglione and H. Waldinger  The commutator collection process
 L. Kappe and R. Morse  Leviproperties in metabelian groups
 K. Kuiken and J. Masterson  Monodromy groups of differential equations on Riemann surfaces of genus \(1\)
 J. Labute  The Lie algebra associated to the lower central series of a free product of cyclic groups of prime order \(p\)
 J. Levine  Algebraic closure of groups
 A. Macbeath  Automorphisms of Riemann surfaces
 I. Macdonald and B. H. Neumann  On commutator laws in groups, \(2\)
 J. McCool  Twodimensional linear characters and automorphisms of free groups
 J. Ratcliffe  On the uniqueness of amalgamated product decompositions of a group
 L. Ribes  The Cartesian subgroup of a free product of profinite groups
 D. Robinson  A note on local coboundaries for locally nilpotent groups
 C. Y. Tang  Some results on \(1\)relator quotients of free products
 M. Tretkoff  Covering spaces, subgroup separability, and the generalized M. Hall property
