Authors
Citation
M. Shapiro, PASCALS TRIANGLES IN ABELIAN AND HYPERBOLIC GROUPS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 63, 1997, pp. 281-288
Citations number
5
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
ISSN journal
02636115
Volume
63
Year of publication
1997
Part
2
Pages
281 - 288
Database
ISI
SICI code
0263-6115(1997)63:<281:PTIAAH>2.0.ZU;2-4
Abstract
Given a group G and a finite generating set G, we take p(G) : G --> Z
to be the function which counts the number of geodesics for each group
element g. This generalizes Pascal's triangle. We compute p(G) for wo
rd hyperbolic and describe generic behaviour in abelian groups.