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ISSN : 1226-0657

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Vol.19 No.4

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GROUPS ACTION ON MEDIAN GRAPHS AND MEDIAN COMPLEXES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.4, pp.349-361
https://doi.org/10.7468/jksmeb.2012.19.4.349
Ryang, Dohyoung
Ryang,, D. (2012). GROUPS ACTION ON MEDIAN GRAPHS AND MEDIAN COMPLEXES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(4), 349-361, https://doi.org/10.7468/jksmeb.2012.19.4.349

Abstract

CAT(0) cubical complexes are a key to formulate geodesic spaces with nonpositive curvatures. The paper discusses the median structure of CAT90) cubical complexes. Especially, the underlying graph of a CAT(0) cubical complex is a median graph. Using the idea of median structure, this paper shows that groups acting on median complexes L(<TEX>${\delta}$</TEX>) groups and, in addition, work L(0) groups are closed under free product.

keywords
CAT(0) cubical complex, free product, L(0) space, median graph

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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