| eBook ISBN: | 978-0-8218-7852-1 |
| Product Code: | CONM/262.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7852-1 |
| Product Code: | CONM/262.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 262; 2000; 310 ppMSC: Primary 20; 22; 57; 55; 53; 17; 51
This volume contains articles written by the invited speakers and workshop participants from the conference on “Crystallographic Groups and Their Generalizations”, held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.
ReadershipGraduate students and research mathematicians interested in group theory and generalizations, topological groups, and Lie groups.
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Table of Contents
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Articles
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Yves Benoist — Tores affines [ MR 1796124 ]
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Carles Casacuberta — On structures preserved by idempotent transformations of groups and homotopy types [ MR 1796125 ]
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Virginie Charette and William M. Goldman — Affine Schottky groups and crooked tilings [ MR 1796126 ]
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Karel Dekimpe — Polynomial structures on polycyclic groups: recent developments [ MR 1796127 ]
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Benson Farb and Lee Mosher — Problems on the geometry of finitely generated solvable groups [ MR 1796128 ]
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William M. Goldman and Gregory A. Margulis — Flat Lorentz 3-manifolds and cocompact Fuchsian groups [ MR 1796129 ]
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Oliver Baues — Varieties of discontinuous groups [ MR 1796130 ]
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Dietrich Burde — Affine cohomology classes for filiform Lie algebras [ MR 1796131 ]
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Charles Cassidy, Neil Kennedy and Dirk Scevenels — Hyperbolic automorphisms for groups in $\scr T(4,2)$ [ MR 1796132 ]
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Serge Dupont — Variétés projectives à holonomie dans le groupe ${\rm Aff}^+(\mathrm {R})$ [ MR 1796133 ]
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Yoshinobu Kamishima — Classification of homogeneous complex affinely flat surfaces with compact quotients and applications to complex projective structures [ MR 1796134 ]
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Yoshinobu Kamishima and Tetsuro Udono — On the fundamental groups of compact complete quaternionic affinely flat 2-manifolds [ MR 1796135 ]
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Wim Malfait — An obstruction to the existence of Anosov diffeomorphisms on infra-nilmanifolds [ MR 1796136 ]
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Niamh O’Sullivan — Genus and localization of virtually nilpotent groups [ MR 1796137 ]
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Anne Parreau — Immeubles affines: construction par les normes et étude des isométries [ MR 1796138 ]
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Joseph A. Wolf — Isoclinic spheres and flat homogeneous pseudo-Riemannian manifolds [ MR 1796139 ]
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This volume contains articles written by the invited speakers and workshop participants from the conference on “Crystallographic Groups and Their Generalizations”, held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.
Graduate students and research mathematicians interested in group theory and generalizations, topological groups, and Lie groups.
-
Articles
-
Yves Benoist — Tores affines [ MR 1796124 ]
-
Carles Casacuberta — On structures preserved by idempotent transformations of groups and homotopy types [ MR 1796125 ]
-
Virginie Charette and William M. Goldman — Affine Schottky groups and crooked tilings [ MR 1796126 ]
-
Karel Dekimpe — Polynomial structures on polycyclic groups: recent developments [ MR 1796127 ]
-
Benson Farb and Lee Mosher — Problems on the geometry of finitely generated solvable groups [ MR 1796128 ]
-
William M. Goldman and Gregory A. Margulis — Flat Lorentz 3-manifolds and cocompact Fuchsian groups [ MR 1796129 ]
-
Oliver Baues — Varieties of discontinuous groups [ MR 1796130 ]
-
Dietrich Burde — Affine cohomology classes for filiform Lie algebras [ MR 1796131 ]
-
Charles Cassidy, Neil Kennedy and Dirk Scevenels — Hyperbolic automorphisms for groups in $\scr T(4,2)$ [ MR 1796132 ]
-
Serge Dupont — Variétés projectives à holonomie dans le groupe ${\rm Aff}^+(\mathrm {R})$ [ MR 1796133 ]
-
Yoshinobu Kamishima — Classification of homogeneous complex affinely flat surfaces with compact quotients and applications to complex projective structures [ MR 1796134 ]
-
Yoshinobu Kamishima and Tetsuro Udono — On the fundamental groups of compact complete quaternionic affinely flat 2-manifolds [ MR 1796135 ]
-
Wim Malfait — An obstruction to the existence of Anosov diffeomorphisms on infra-nilmanifolds [ MR 1796136 ]
-
Niamh O’Sullivan — Genus and localization of virtually nilpotent groups [ MR 1796137 ]
-
Anne Parreau — Immeubles affines: construction par les normes et étude des isométries [ MR 1796138 ]
-
Joseph A. Wolf — Isoclinic spheres and flat homogeneous pseudo-Riemannian manifolds [ MR 1796139 ]
