Tilings of the plane, hyperbolic groups, and small cancellation conditions / Milé Krajčevski.

Format:

Book

Author/Creator:

Krajčevski, Milé, 1954- author.

Series:

Memoirs of the American Mathematical Society ; no. 733.

Memoirs of the American Mathematical Society, 0065-9266 ; number 733

Language:

English

Subjects (All):

Hyperbolic groups.

Tiling (Mathematics).

Cancellation theory (Group theory).

Physical Description:

1 online resource (74 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2001]

Language Note:

English

Summary:

This book is intended for graduate students and research mathematicians interested in group theory and generalizations.

Contents:

""Contents""; ""Preface""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Definitions""; ""1.2. The class T""; ""1.3. Singular Disk Diagrams, Reduced Diagrams and Cayley Graphs""; ""1.4. Geodesic Triangles in a Cayley Graph""; ""Chapter 2. Small Cancellation Theory of T""; ""2.1. C�geodesics and Chains""; ""2.2. Shape of Geodesic Triangles and Digons for Groups in T""; ""Chapter 3. Tilings""; ""3.1. Tilings""; ""3.2. Tilings Associated With a Given Presentation""; ""Bibliography""

Notes:

"Volume 154, number 733 (fourth of 5 numbers)."

Includes bibliographical references Includes bibliographical references (page 59).

Description based on print version record.

ISBN:

1-4704-0326-9