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This paper introduced the domain of a sentence group. A domain is described with conceptual symbols in linguistic conceptual space. The domain of a sentence group can be extracted from words and their roles in the semantic structure of a sentence. Four kinds of relationships between the conceptual symbols of domains were discussed. These relationships are also helpful to confirm the domain of a sentence or sentence group. The result of experiments showed that it was difficult in recognizing the domain of a sentence group properly, but there was still a possible way to obtain better results.