6-transposition property of τ-involutions of vertex operator algebras
Shinya Sakuma
Abstract
In this paper, we study the subalgebra generated by two Ising vectors in the Griess algebra of a vertex operator algebra. We show that the structure of it is uniquely determined by some inner products of Ising vectors. We prove that the order of the product of two τ-involutions is less than or equal to 6 and we determine the inner product of two Ising vectors.
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