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 satisfying sufficiently strong small cancellation conditions are word hyperbolic and have word problem solvable by Dehn's algorithm. Small cancellation methods are also used for constructing Tarski monsters, and for solutions of Burnside's problem.
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mathematical subject of group theory, smallcancellationtheory studies groups given by group presentations satisfying smallcancellation conditions, that is where...
Set theory — Shape theory — Smallcancellationtheory — Spectral theory — Stability theory — Stable theory — Sturm–Liouville theory — Surgery theory — Twistor...
precursors of geometric group theory include smallcancellationtheory and Bass–Serre theory. Smallcancellationtheory was introduced by Martin Grindlinger...
proofs of these four theorems used the "results and methods of smallcancellationtheory." "In Memoriam: Kenneth Appel". math.illinois.edu. Archived from...
remained an underutilized tool in group theory for about thirty years, until the advent of the smallcancellationtheory in the 1960s, where Van Kampen diagrams...
for the subject of smallcancellationtheory. Starting 1980's he worked on problems that explored the connections between Group theory and Computer Science...
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infinite group theory. This includes smallcancellationtheory and its generalizations, (Gromov) hyperbolic group theory, Bass-Serre theory and the actions...
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theoretical consistency, in particular anomaly cancellation. Altareli, Guido (1998-11-24). "The Standard Electroweak Theory and Beyond". arXiv:hep-ph/9811456. Ross...
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