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Developed a broad theory of hyperbolic groups using geometric conditions on Cayley graphs, connecting small-cancellation phenomena, boundaries and algorithmic properties in a unified research program.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the sole-author 1987 chapter in Essays in Group Theory. Earlier hyperbolic geometry, prior small-cancellation theory, later proofs and extensions to relatively hyperbolic groups remain separate.
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People and systems
Mikhail Gromov
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Documented countries / regions: France
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English catalogue narrative
Gromov: hyperbolic groups
Developed a broad theory of hyperbolic groups using geometric conditions on Cayley graphs, connecting small-cancellation phenomena, boundaries and algorithmic properties in a unified research program.
Scientific scope
The record is the sole-author 1987 chapter in Essays in Group Theory. Earlier hyperbolic geometry, prior small-cancellation theory, later proofs and extensions to relatively hyperbolic groups remain separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Mikhail Gromov
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.