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Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / Sean Cleary [and three others], editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- AMS special session, combinatorial group theory (November 4-5, 2000 : New York, New York), issuing body.
- AMS special session, computational group theory (April 28-29, 2001 : Hoboken, New Jersey), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 296.
- Contemporary mathematics, 0271-4132 ; 296
- Language:
- English
- Subjects (All):
- Combinatorial group theory--Congresses.
- Combinatorial group theory.
- Geometric group theory--Congresses.
- Geometric group theory.
- Physical Description:
- 1 online resource (290 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2002]
- Language Note:
- English
- Summary:
- This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
- Contents:
- ""Contents""; ""Preface""; ""Open problems in combinatorial group theory. Second edition""; ""1. Outstanding Problems""; ""2. Free Groups""; ""3. One-relator Groups""; ""4. Finitely Presented Groups""; ""5. Hyperbolic and Automatic Groups""; ""6. Braid Groups""; ""7. Nilpotent Groups""; ""8. Metabelian Groups""; ""9. Solvable Groups""; ""10. Groups of Matrices""; ""11. Growth""; ""Boundaries of hyperbolic groups""; ""Thin groups of fractions""; ""Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group""
- ""Weakly finitely presented infinite periodic groups""""Positively generated subgroups of free groups and the Hanna Neumann conjecture""; ""On the proalgebraic completion of a finitely generated group""; ""On the Andrews-Curtis equivalence""; ""Test ranks of finitely generated abelian groups""; ""Classification of the finite generalized tetrahedron groups""; ""Fixed subgroups in free groups: A survey""; ""Automorphisms of surfaces""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7886-7
- 0-8218-5632-4
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