1 citations · 1 across the 3 of their papers we have counts for
11 papers
String rewriting for Double Coset Systems
Ronald Brown, Neil Ghani, Anne Heyworth +1
In this paper we show how string rewriting methods can be applied to give a new method of computing double cosets. Previous methods for double cosets were enumerative and thus rest…
Computation and Homotopical Applications of Induced Crossed Modules
Ronald Brown, Christopher D. Wensley
We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues i…
Galois theory and a new homotopy double groupoid of a map of spaces
R. Brown, G. Janelidze
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new homo…
Holonomy and monodromy groupoids
Ronald Brown, Ilhan Icen, Osman Mucuk
We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodro…
Free crossed resolutions for graph products of groups
Ronald Brown, Manuel Bullejos, Timothy Porter
The category of crossed complexes gives an algebraic model of the category of -complexes and cellular maps. We explain basic results on crossed complexes which allow the comput…
Towards a 2-dimensional notion of holonomy
Ronald Brown, Ilhan Icen
Previous work (Pradines, 1966, Aof and Brown, 1992) has given a setting for a holonomy Lie groupoid of a locally Lie groupoid. Here we develop analogous 2-dimensional notions start…