ON THE GEOMETRY OF NORMAL FORMS IN DISCRETE-GROUPS

Authors
BRIDSON MR
Citation
Mr. Bridson, ON THE GEOMETRY OF NORMAL FORMS IN DISCRETE-GROUPS, Proceedings of the London Mathematical Society, 67, 1993, pp. 596-616
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the London Mathematical Society → ACNP
ISSN journal
00246115
Volume
67
Year of publication
1993
Part
3
Pages
596 - 616
Database
ISI
SICI code
0024-6115(1993)67:<596:OTGONF>2.0.ZU;2-Q
Abstract
We study normal forms in finitely generated groups from the geometric viewpoint of combings. We introduce notions of combability considerabl y weaker than those commonly in use. We prove that groups which satisf y these conditions arc finitely presented and satisfy isoperimetric an d isodiametric inequalities of a controlled nature.