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4 papers · 1 filter
Local indicability in the presence of diagrammatic reducibility
Jens Harlander, Stephan Rosebrock
If a complex is a subcomplex of a diagrammatically reducible 2-complex that has locally indicable fundamental group, then has locally indicable fundamental group. This…
Ribbon 2-knot groups of Coxeter type
Jens Harlander, Stephan Rosebrock
Wirtinger presentations of deficiency 1 appear in the context of knots, long virtual knots, and ribbon 2-knots. They are encoded by (word) labeled oriented trees and, for that reas…
Relative Vertex Asphericity
Jens Harlander, Stephan Rosebrock
Diagrammatic reducibility DR and its generalization vertex asphericity VA are combinatorial tools developed for detecting asphericity of a 2-complex. Here we present tests for a re…
Aspherical Word Labeled Oriented Graphs and Cyclically Presented Groups
Jens Harlander, Stephan Rosebrock
A {\em word labeled oriented graph} (WLOG) is an oriented graph on vertices , where each oriented edge is labeled by a word in . WLOGs gi…