Pascal's triangles in abelian and hyperbolic groups

Michael Shapiro

Research output: Contribution to journalArticlepeer-review

10 Citations (SciVal)


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.
Original languageEnglish
Pages (from-to)281-288
Number of pages8
JournalJournal of the Australian Mathematical Society
Issue number2
Publication statusPublished - 1 Oct 1997


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