Nagoya Mathematical Journal · 1986 · 22 citations · 7 references
Natural SciencesMathematicsAlgebraNumber TheoryRepresentation TheoryGroup TheoryLattice StructuresLattice BasisTheta Functions
Let Λ be the Leech lattice which is an even unimodular lattice with no vectors of squared length 2 in 24-dimensional Euclidean space R 24 . Then the Mathieu Group M 24 is a subgroup of the automorphism group .0 of Λ and the action on Λ of M 24 induces a natural permutation representation of M 24 on an orthogonal basis For , let Λ m be the sublattice of vectors invariant under m:
7
John H. Conway, Simon Norton · Bulletin of the London Mathematical Society · 1979 · 421 citations · Full text
A characterisation of Leech's lattice
John H. Conway · Inventiones mathematicae · 1969 · 104 citations
Finite Groups and Modular Functions
J. G. Thompson · Bulletin of the London Mathematical Society · 1979 · 96 citations