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Small cancellation theory

In the mathematical subject of group theory, small cancellation theory studies groups given by group presentations satisfying small cancellation conditions, that is where defining relations have "small overlaps" with each other. Small cancellation conditions imply algebraic, geometric and algorithmic properties of the group. Finitely presented groups…

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Small cancellation theory

Nodes68
Edges67
Triples75
Avg. degree1.97
Density0.029412
Components1

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Small cancellation theory

Top relations

has application · 39
Small cancellation theory → Adian, Also, Bowditch, Burnside, CAT, Chapter, Dehn, Dehn's, Early, Eliyahu Rips, Even, Examples, Finitely, Given, Gromov, Gromov's, Hilbert, In, McCammond, Noetherian
related to Generalizations · 19
Small cancellation theory → Burnside, Dehn, Delzant, Greendlinger's, Gromov, Hilbert, HNN, Kampen, Lyndon, McCammond, Ol'shanskii, Osin, Rips, Sacerdote, Schupp, Tarski, This, Thurston's, Wise
related to history · 17
Small cancellation theory → Bonnet, Cayley, Dehn, Dehn's, Gauss, Greendlinger, His, HNN-extensions, In, Lyndon, Lyndon-Schupp, Martin Greendlinger, Max Dehn, Schupp, Some, Tartakovskii, The

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Important terminology

small cancellation groups group presentation theory word algorithm condition conditions finitely problem also reduced symmetrized word-hyperbolic dehn's version defining presented

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Small cancellation theoryhas applicationExamples0.60section
Small cancellation theoryhas applicationSolution0.60section
Small cancellation theoryhas applicationChapter0.60section
Small cancellation theoryhas applicationTheorem0.60section
Small cancellation theoryhas applicationFinitely0.60section
Small cancellation theoryhas applicationOne0.60section
Small cancellation theoryhas applicationDehn's0.60section
Small cancellation theoryhas applicationCAT0.60section
Small cancellation theoryhas applicationEarly0.60section
Small cancellation theoryhas applicationSacerdote0.60section
Small cancellation theoryhas applicationSchupp0.60section
Small cancellation theoryhas applicationSQ-universal0.60section

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