Conway’s group and octonions
نویسنده
چکیده
We give a description of the double cover of Conway’s group in terms of right multiplications by 3× 3 matrices over the octonions. This leads to simple sets of generators for many of the maximal subgroups, including a uniform construction of the Suzuki chain of subgroups.
منابع مشابه
Octonions, G2 and generalized Lie 3-algebras
We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of [1], this gives rise to a three-dimensional N = 2 Chern-Simons-matter theory with exceptional gauge group G2 and with global symmetry SU(4) × U(1). This gives a possible candidate for the theory on multiple M2-branes with G2 gauge symmetry.
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