Meyer, Werner; Neutsch, Wolfram Associative subalgebras of the Griess algebra. (English) Zbl 0789.17002 J. Algebra 158, No. 1, 1-17 (1993). The authors investigate the structure of the Griess algebra \(G\), whose automorphism group is the Fisher-Griess monster \(F_ 1\). The 48- dimensional maximal associative subalgebras are constructed in \(G\), and it is conjectured that the given examples are of maximal possible dimension among all associative subalgebras in \(G\). Reviewer: I.P.Shestakov (Novosibirsk) Cited in 3 ReviewsCited in 7 Documents MSC: 17A36 Automorphisms, derivations, other operators (nonassociative rings and algebras) 20C34 Representations of sporadic groups 20D08 Simple groups: sporadic groups Keywords:Griess algebra; Fisher-Griess monster × Cite Format Result Cite Review PDF Full Text: DOI