Rapid Decay is Preserved by Graph Products

Laura Ciobanu, Derek F. Holt and Sarah Rees

Keywords

graph product, rapid decay, right-angled Artin group

Status

submitted for publication

Abstract

We prove that the rapid decay property (RD) of groups is preserved by graph products defined on finite simplicial graphs. \medskip \noindent 2000 Mathematics Subject Classification: 20E06, 43A15, 46L99. \noindent Key words: rapid decay, graph products, free and direct products, length functions, normal forms. \

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