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Small cancellation theory information


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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Small cancellation theory

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mathematical subject of group theory, small cancellation theory studies groups given by group presentations satisfying small cancellation conditions, that is where...

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Theory

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Set theory — Shape theorySmall cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm–Liouville theory — Surgery theory — Twistor...

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Geometric group theory

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precursors of geometric group theory include small cancellation theory and Bass–Serre theory. Small cancellation theory was introduced by Martin Grindlinger...

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Kenneth Appel

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proofs of these four theorems used the "results and methods of small cancellation theory." "In Memoriam: Kenneth Appel". math.illinois.edu. Archived from...

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Van Kampen diagram

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remained an underutilized tool in group theory for about thirty years, until the advent of the small cancellation theory in the 1960s, where Van Kampen diagrams...

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Paul Schupp

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for the subject of small cancellation theory. Starting 1980's he worked on problems that explored the connections between Group theory and Computer Science...

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Echo suppression and cancellation

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Echo suppression and echo cancellation are methods used in telephony to improve voice quality by preventing echo from being created or removing it after...

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Eliyahu Rips

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infinite group theory. This includes small cancellation theory and its generalizations, (Gromov) hyperbolic group theory, Bass-Serre theory and the actions...

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Gauge theory

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anomaly, which must cancel in any consistent physical theory. In the electroweak theory this cancellation requires an equal number of quarks and leptons. A...

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History of string theory

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on string theory as the most promising idea to unify physical theories. The revolution was started by a discovery of anomaly cancellation in type I string...

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Monoid

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the study of monoids is fundamental for automata theory (Krohn–Rhodes theory), and formal language theory (star height problem). See semigroup for the history...

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Grand Unified Theory

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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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A conspiracy theory is an explanation for an event or situation that asserts the existence of a conspiracy by powerful and sinister groups, often political...

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Anti-Stratfordians—a collective term for adherents of the various alternative-authorship theories—believe that Shakespeare of Stratford was a front to shield the identity...

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Theory of conjoint measurement

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instances of the triple cancellation which are trivially true if double cancellation is supported. The axioms of the theory of conjoint measurement are...

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Opponent process

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provided psychophysical validation for Hering's theory. Their method was called hue cancellation. Hue cancellation experiments start with a color (e.g. yellow)...

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Prospect theory

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theory is a theory of behavioral economics, judgment and decision making that was developed by Daniel Kahneman and Amos Tversky in 1979. The theory was...

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Semigroup

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orthodox semigroups, semigroups with involution, inverse semigroups and cancellative semigroups. There are also interesting classes of semigroups that do...

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Cultural Marxism conspiracy theory

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"Cultural Marxism" refers to a far-right antisemitic conspiracy theory that misrepresents the Frankfurt School as being responsible for modern progressive...

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Moon landing conspiracy theories

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Moon landing conspiracy theories claim that some or all elements of the Apollo program and the associated Moon landings were hoaxes staged by NASA, possibly...

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Small modular reactor

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Small modular reactors (SMRs) are a class of small nuclear fission reactors, designed to be built in a factory, shipped to operational sites for installation...

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Flat Earth

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cosmology. The model has undergone a recent resurgence as a conspiracy theory. The idea of a spherical Earth appeared in ancient Greek philosophy with...

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