The Cohomologies of the Sylow 2-subgroups of a Symplectic Group of Degree Six and of the Third Conway Group
نویسنده
چکیده
The third Conway group Co3 is one of the twenty-six sporadic finite simple groups. The cohomology of its Sylow 2-subgroup S is computed, an important step in calculating the mod 2 cohomology of Co3. The spectral sequence for the central extension of S is described and collapses at the sixth page. Generators are described in terms of the Evens norm or transfers from subgroups. The central quotient S′ = S/2 is the Sylow 2-subgroup of the symplectic group Sp6(F2) of six by six matrices over the field of two elements. The cohomology of S′ is computed, and is detected by restriction to elementary abelian 2-subgroups.
منابع مشابه
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