Premium
On the Geometry of Normal Forms in Discrete Groups
Author(s) -
Bridson Martin R.
Publication year - 1993
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-67.3.596
Subject(s) - isoperimetric inequality , mathematics , pure mathematics , finitely generated abelian group , group (periodic table) , geometry , algebra over a field , combinatorics , organic chemistry , chemistry
We study normal forms in finitely generated groups from the geometric viewpoint of combings. We introduce notions of combability considerably weaker than those commonly in use. We prove that groups which satisfy these conditions are finitely presented and satisfy isoperimetric and isodiametric inequalities of a controlled nature.