stabiliser · not in domain-math.js · 3 records · all concepts
runs2 · +1 retired
113Does the inherited predicate — "G is the stabiliser, in Co₀ or the Monster, of a named substructure of a 24-object, or sits in a chain of such stabilisers" — reproduce the happy/pariah split of the 26 sporadic groups exactly, on the readers' reports of run 112, with no new reader?run
116Under four kinds — W (the whole Golay code, Leech lattice or V♮), V (a piece of Λ or the Golay code), R (a coordinatisation of Λ), F (the fixed set of a non-identity element or subgroup of M on V♮) — does every happy-family group have at least one kind, with the roots exactly {M₂₄, Co₁, M}?run
115On the twenty happy-family sporadic groups, do the three kinds of substructure they stabilise — V (a piece of the Leech lattice or Golay code), R (a ring or coordinate structure on the Leech lattice), F (the fixed points of an element or small subgroup of the Monster on V♮) — nest as R ⊂ V ⊂ F, group for group?run
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