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A note on the Weyl group of type \(E_ 7\) - MaRDI portal

A note on the Weyl group of type \(E_ 7\) (Q2640615)

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A note on the Weyl group of type \(E_ 7\)
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    A note on the Weyl group of type \(E_ 7\) (English)
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    1990
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    Beginning with the symmetric group of degree 8 acting on two sets of cardinality 28, the author defines and studies a certain regular graph (\(\Omega\),\(\Gamma\)) on 56 points, whose automorphism group is the Weyl group of type \(E_ 7\), isomorphic to \({\mathbb{Z}}_ 2\times Sp(6,2)\) acting imprimitively with blocks of cardinality 2.
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    automorphism group
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    Weyl group
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