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Showing 1 to 3 of 3 for “"Small Cancellation Theory"”.
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Van Kampen Diagrams and Small Cancellation Theory
… the identity in G. In this thesis, we study small cancellation theory, developed by Lyndon, Schupp, and Greendlinger in the mid-1960s, which contributed to the resurgence of geometric group theory. We investigate the connection between Van Kampen diagrams and the small cancellation …
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Cubical small-cancellation theory and large-dimensional hyperbolic groups
Given a finitely presented group Q and a compact special cube complex X with nonelementary hyperbolic fundamental group, we produce a non-elementary, torsion-free, cocompactly cubulated hyperbolic group Γ that surjects onto Q, with kernel isomorphic to a quotient of G = π_1X and such that …
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Artin Groups of Extra-Large Type Are Biautomatic
… thesis we develop new techniques to work with small cancellation theory diagrams for Artin groups. Using these techniques we examine paths in the Cayley graph of the Artin group. For any Artin group G, with semigroup generators ${\cal A}$, we define a language $L(G) \subset {\cal A}\sp*$. The …