Gerald Höhn

The Conway-Wales lattice and the Rudvalis and Tits groups

We construct the Conway-Wales lattice from a self-dual even code C over ℤ4 whose binary layers interweave the Hamming codes ℋ7 and ℋ8. Explicit signed symmetries lift every automorphism of the binary residue, and the full signed code group is the coordinate-frame stabilizer of th...