Pascal's triangles in abelian and hyperbolic groups

Michael Shapiro

doi:10.1017/S1446788700000690

Pascal's triangles in abelian and hyperbolic groups

Michael Shapiro

Department of Life Sciences

University of Melbourne

Research output: Contribution to journal › Article › peer-review

10 Citations (SciVal)

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.

Original language	English
Pages (from-to)	281-288
Number of pages	8
Journal	Journal of the Australian Mathematical Society
Volume	63
Issue number	2
DOIs	https://doi.org/10.1017/S1446788700000690
Publication status	Published - 1 Oct 1997

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title = "Pascal's triangles in abelian and hyperbolic groups",

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.",

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Pascal's triangles in abelian and hyperbolic groups

Abstract

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