TOWARDS 2+1+12· 3· Aut (M22)
This chapter shows that N is the extraspecial group Q ≅ 21+12 + extended by a group R of order 3 acting fixed-point freely on Q/Z (where Z is the centre of Q/) and that G is the automorphism group Aut (M22) of the sporadic Mathieu group M22. Shpectorov's geometric characterization of M22 in terms of a Petersen type geometry is used. The sporadic Mathieu group M22 appears before any specific completions of G can be considered.
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