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Showing 1 to 2 of 2 for “"Dehn Function"”.
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The Dehn function, word problem, and bounded word problem for finitely generated decidable group presentations
… the word problem is solvable if and only if the Dehn function is computable. Additionally, the bounded word problem is always solvable. For finitely generated decidable group presentations, this is not always the case. The main result of the present work is to determine whether there exist …
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Geometric methods in the study of Pride groups and relative presentations
… presented groups; first and second order Dehn functions of finitely presented groups; diagrams and pictures over finite presentations; and the second homotopy module of a finite presentation. The reader may skip Chapter 1 if they are familiar with this material. A Pride group is a finitely …