Screen LibraryBeyond hyperbolicity /
Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the univ...
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| Group Author: | ; ; |
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| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge : |
| Publication Dates: | 2019. |
| Literature type: | Book |
| Language: | English |
| Series: |
London Mathematical Society lecture note series ;
454 |
| Subjects: | |
| Summary: |
Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go 'beyond hyperbolicity' to find good generalisations that nevertheless permit similarly strong results. This book is the ideal resource for researchers wishing to contribute to this rich and active field. |
| Carrier Form: | x, 231 pages : illustrations ; 23 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: |
9781108447294 1108447295 |
| Index Number: | QA685 |
| CLC: | O184 |
| Call Number: | O184/B573 |
| Contents: |
Lectures -- Notes on coarse median spaces / Semihyperbolicity / Acylindrically hyperbolic groups / Expository Articles -- A survey on Morse boundaries and stability / What is a hierarchically hyperbolic space? / Research Articles -- A counterexample to questions about boundaries, stability, and commensurability / A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes / Immutability is not uniformly decidable in hyperbolic groups |