TOWARDS 2 + 1 + 12 · 3 · Aut ( M 22 )
TOWARDS 2 + 1 + 12 · 3 · Aut ( M 22 )
This chapter shows that N[3] is the extraspecial group Q[3] ≅ 21+12 + extended by a group R of order 3 acting fixed-point freely on Q[3]/Z[3] (where Z[3] is the centre of Q[3]/) and that G[3] 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.
Keywords: automorphism group, Petersen-type amalgam, extraspecial group, Mathieu group
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