October 13, 2025Open Access

Residual Finiteness of Graph Wreath Products

Key Points

Graph wreath products can be residually finite under specific conditions, providing deep insights into their structure.
The research generalizes established results pertaining to the permutational wreath product and free product cases.
Understanding the residual finiteness of graph wreath products can enhance the study of complex algebraic structures.
These findings may lead to further advancements in the mathematics of group theory and abstract algebra.

Abstract

We prove necessary and sufficient conditions for when graph wreath products are residually finite, generalising known results for the permutational wreath product and free product cases.

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Cite This Study

Amy Needham (Sun,) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec093aa https://doi.org/https://doi.org/10.48550/arxiv.2509.11170

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