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In mathematics, the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 that has the Monster group M as...

In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest...

Robert Louis Griess, Jr. (born 1945, Savannah, Georgia) is a mathematician working on finite simple groups and vertex algebras. He is currently the John...

construct the monster Lie algebra, an infinite-dimensional generalized Kac–Moody algebra acted on by the monster. The Griess algebra is the same as the degree...

Genetic algebra Geometric algebra Gerstenhaber algebra Graded algebra Griess algebra Group algebra Group algebra of a locally compact group Hall algebra Hecke...

{\displaystyle 1728{\text{ }}j(\tau )=1/q+744+196884q+21493760q^{2}+\cdots } The Griess algebra (which contains the friendly giant as its automorphism group) and all...

of grade-n part of the moonshine module, the first example being the Griess algebra, which has dimension 196,884, corresponding to the term 196884q. This...

commutative yet non-associative product as a 5-modular analogue of the Griess algebra V 2 {\displaystyle V_{2}} ♮, which holds the friendly giant as its automorphism...

883-dimensional Griess algebra and the infinite-dimensional monster vertex operator algebra, and acts naturally on the monster Lie algebra. (Complete for...

several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding...

nontrivial invariant algebra structure analogous to the Griess algebra, but Ryba (2007) showed that it does have such an invariant algebra structure if it...

F5 with a commutative but nonassociative product, analogous to the Griess algebra (Ryba 1996). The full nomralizer of a 5A element in the Monster group...

explicit construction of the Griess algebra that has the monster group as its automorphism group. This monster vertex algebra was also used to prove the...

faithful 196,883-dimensional representation in the 196,884-dimensional Griess algebra, meaning that each element of the Monster can be expressed as a 196...

has order 2, and its outer automorphism group is trivial. In 1982 Robert Griess showed that Ru cannot be a subquotient of the monster group. Thus it is...

Robert H.; Griess, Robert L. (1983). "Finite groups with standard components of Lie type over fields of characteristic two" (PDF). Journal of Algebra. 80 (2):...

order 604,800", Journal of Algebra, 9 (4): 417–450, doi:10.1016/0021-8693(68)90014-8, ISSN 0021-8693, MR 0240192 (Griess relates [p. 123] how Marshall...

and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...

multiplier has order 3, and its outer automorphism group has order 2. (Griess 1982:94) showed that O'Nan cannot be a subquotient of the monster group...

doi:10.1007/978-1-4757-2016-7. eISSN 2196-9701. ISBN 978-1-4757-2016-7. Griess, Jr., Robert L. (1998). Twelve Sporadic Groups. Springer Monographs in Mathematics...