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Licensed Unlicensed Requires Authentication Published by De Gruyter August 13, 2010

Conway's group and octonions

  • Robert A. Wilson EMAIL logo
From the journal Journal of Group Theory


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.

Received: 2009-03-16
Revised: 2010-02-25
Published Online: 2010-08-13
Published in Print: 2011-January

© de Gruyter 2011

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