Work

Pascal's triangles in Abelian and hyperbolic groups

Year: 1997

Type: article

Abstract: Given a group G and a finite generating set G, we take pG: G → Z to be the function which counts the number of geodesics for each group element g. This generalizes Pascal's triangle. We compute pG for word hyperbolic and describe generic behaviour in abelian groups.

Source: Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics

DOI: 10.1017/s1446788700000690

Author: Michael Shapiro

Institution: The University of Melbourne

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1994309058

FWCI:

Cites: 3

Cited by: 17

Related to: 10