The historical relevance: Sanghamitta (Sanghamitra in Sanskrit) was the daughter of Emperor Ashoka and his Buddhist queen Devi.
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Ashoka and Devi were both Buddhists and were directly responsible for the spread of Buddhism throughout the Indian subcontinent, and into Afghanistan, SriLanka, and Southeast Asia.
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Because...
more... of their commitment to Buddhism, a more accurate translation of their daughter's name is "friend of the Buddhist community."
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Buddhist practitioners are known, collectively, as the "sangha." The sangha is considered one of the "Three Jewels" of Buddhism, along with Buddha and Dharma (the Buddha's teachings). So the name Sanghamitra signals that her parents wished to align their daughter with one of the Three Jewels.