# Conway's group and octonions

@article{Wilson2010ConwaysGA, title={Conway's group and octonions}, author={Robert A. Wilson}, journal={Journal of Group Theory}, year={2010}, volume={14}, pages={1 - 8} }

Abstract 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.

#### 4 Citations

THERE IS NO Sz(8) IN THE MONSTER

- Mathematics
- 2015

As a contribution to an eventual solution of the problem of the determination of the maximal subgroups of the Monster we show that there is no subgroup isomorphic to Sz(8). This also completes the… Expand

U-Duality and the Leech Lattice

- Physics, Mathematics
- 2013

It has recently been shown that the full automorphism group of the Leech lattice, Conway's group Co_0, can be generated by 3 x 3 matrices over the octonions. We show such matrices are of type F_4 in… Expand

On infinitely generated groups whose proper subgroups are solvable

- Mathematics
- 2014

Abstract In this work infinitely generated groups are considered whose proper subgroups are solvable and in whose homomorphic images finitely generated subgroups have residually nilpotent normal… Expand

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