Griess, R. L. jun. Nonassociativity in VOA theory and finite group theory. (English) Zbl 1224.17033 Commentat. Math. Univ. Carol. 51, No. 2, 237-244 (2010). The paper summarizes basic properties of vertex oriented algebras and their connections to (sporadic) groups. It points out the role of nonassociativity and suggests several research lines that might pursued by nonassociative theorists. Reviewer: Aleš Drápal (Praha) Cited in 1 Document MSC: 17B69 Vertex operators; vertex operator algebras and related structures 20D06 Simple groups: alternating groups and groups of Lie type 20D08 Simple groups: sporadic groups 17A01 General theory of nonassociative rings and algebras 17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.) Keywords:sporadic group; vertex operator algebra; nonassociative algebra; lattice type vertex oriented algebra × Cite Format Result Cite Review PDF Full Text: EuDML EMIS