| Summary: | 博士 === 國立臺灣大學 === 數學研究所 === 101 === In this dissertation, we study Griess algebras generated by Ising vectors. We consider two different cases. In the first case, we study Griess algebras generated by 3 Ising vectors with a common central 2A axial element. In the second case, we consider Griess algebras generated by two 3A-algebras with a common 3A axial element. In both cases, we classified all possible Griess algebras, up to isomorphism, and related them the McKay''s E7 and E6 observations about the Baby Monster and the Fischer group.
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