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Peer-to-peer (P2P) systems have many important advantages. However, most existing P2P systems are limited to providing resource searches based on simple keyword matching, and do not provide any semantic information about the content of the objects stored and the relationships between those objects. This paper proposes the design of a hierarchical semantic overlay network that can be used for content-based full-text search, and is part of our work to use semantics in network management. Our semantic overlay network is based on creating a semantic cluster of objects that is associated with each node in the P2P DHT to provide semantic search. We validate some research questions in our approach by conducting simulations.