79 10 782 https://linen-dog.lnx.warwick.ac.uk/files/original/4d22dcc5edac10c43f68a7eaf60ebee9.pdf f657afa074329442fcaad75d64e47bd6 Academic Paper An academic paper Abstract The abstract of the paper This project studies the weak and strong cop numbers of Cayley graphs of finitely generated groups, with particular emphasis on methods for proving that the strong cop number is infinite. After reviewing several known results and techniques, we investigate a number of non-hyperbolic examples. For right-angled Artin groups, we use quasi-retractions onto Z² to determine their strong cop numbers in the non-free case. A novelty of this work is the proof that the discrete three-dimensional Heisenberg group H₃(Z) has infinite strong cop number. To show this, we introduce a weighted coordinate function comparable to the word metric and use the natural Heisenberg dilations to construct a sequence of quasi-homotheties. Motivated by this argument, we study a semidirect product Z³ ⋊ₐ Z and establish an analogous word-metric comparison, while the corresponding quasi-homothety problem is left open. Meta Tags Meta tags geometric group theory, cops and robbers, strong cop number, weak cop number, Cayley graphs, Heisenberg group, quasi-homothety, right-angled Artin groups Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Infinite Strong Cop Number of the Three-Dimensional Heisenberg Group Subject The topic of the resource Geometric group theory and coarse cops and robbers on Cayley graphs Date A point or period of time associated with an event in the lifecycle of the resource September 2026 Contributor An entity responsible for making contributions to the resource Dr Jerónimo García Mejía (URSS Supervisor) https://linen-dog.lnx.warwick.ac.uk/files/original/d5019434766f933e8db56b4536d5d640.pdf d4bc906d8a1acb504acc40c05543bcc2 Academic Paper An academic paper Abstract The abstract of the paper Factorising integers using elliptic curves Meta Tags Meta tags Mathematics, Elliptic curves Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Factorising integers using elliptic curves Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2026 Contributor An entity responsible for making contributions to the resource Hamza Zahid