The C.O.R.E. Group is not explicitly detailed in the search results, but based on the URL provided, it seems to be related to a company with offices in Arizona and Indiana. However, there is another company, Centered On Relationship Enhancement, which might be associated with this name. If referring to a different entity, more specific details are needed. Generally, companies with similar names often focus on relationship enhancement or consulting services. Their unique selling proposition would likely involve enhancing relationships through specialized consulting or training services, targeting individuals or organizations seeking improved interpersonal dynamics.