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Wikipedia definition
1. Monster groupIn the mathematical field of group theory, the Monster group M or F1 (also known as the Fischer-Griess Monster, or the Friendly Giant) is a group of finite order: Group theory 200px Basic notions Subgroup Normal subgroup Quotient group Group homomorphism direct product group homomorphisms, kernel, image, direct sum, wreath product, simple, finite, infinite, continuous, multiplicative, additive, cyclic, abelian, dihedral, nilpotent, solvable, List of group theory topics Glossary of group theory Finite groups Classification of finite simple groups Cyclic group Zn Symmetric group Sn Dihedral group Dn Alternating group An Mathieu groupsM11, M12, M22, M23, M24 Conway groups Co1, Co2, Co3 Janko groups J1, J2, J3, J4 Fischer groups F22, F23, F24 Baby Monster group B Monster group M Discrete groups and lattices Integers Z Lattice Modular groups PSL(2,Z), SL(2,Z) Topological and Lie groups Solenoid Circle General linear GL(n) Special linear SL(n) Orthogonal O(n) Special orthogonal SO(n) Unitary U(n) Special unitary SU(n) Symplectic Sp(n) G2 · F4 · E6 · E7 · E8 Lorentz Poincaré Conformal Diffeomorphism Loop Infinite dimensional Lie groupO(∞), SU(∞), Sp(∞) Algebraic groups Elliptic curve Linear algebraic group Abelian variety vte It is a simple group, meaning it does not have any normal subgroups except for the subgroup consisting only of the identity element, and M itself.
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