
arXiv: 0802.1733
An Artin HNN-extension is an HNN-extension of an Artin group in which the stable letter conjugates a pair of suitably chosen subsets of the standard generating set. We show that some finite index subgroup of an Artin HNN-extension embeds in an Artin group. We also obtain an analogous result for Coxeter groups.
Mathematics - Geometric Topology, 20F36; 20F55, 20F65, 20F36, FOS: Mathematics, Geometric Topology (math.GT), Group Theory (math.GR), Mathematics - Group Theory, 20F55, 20F65, 510
Mathematics - Geometric Topology, 20F36; 20F55, 20F65, 20F36, FOS: Mathematics, Geometric Topology (math.GT), Group Theory (math.GR), Mathematics - Group Theory, 20F55, 20F65, 510
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 2 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
