Rapid Decay is Preserved by Graph Products
Laura Ciobanu, Derek F. Holt, Sarah Rees
TL;DR
This paper proves that the rapid decay property of groups remains intact when groups are combined using graph products on finite simplicial graphs, extending understanding of group properties under such constructions.
Contribution
It establishes that the rapid decay property is preserved under graph products, a significant extension of known results in geometric group theory.
Findings
Rapid decay property is preserved under graph products.
Graph products on finite simplicial graphs maintain RD.
The result broadens the class of groups known to have RD.
Abstract
We prove that the rapid decay property (RD) of groups is preserved by graph products defined on finite simplicial graphs.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Geometric and Algebraic Topology · Finite Group Theory Research