A construction of the Shephard–Todd group G32 through the Weyl group of type E6
Résumé
It is well known that the quotient of the derived subgroup of the Shephard–Todd complex reflection group G32 (which has rank 4) by its center is isomorphic to the derived subgroup of the Weyl group of type E6. We show that this isomorphism can be realized through the second exterior power, and take the opportunity to propose an alternative construction of the group G32.
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