Sur le centralisateur d'une involution de 2E6(2)

Mathematics – Group Theory

Scientific paper

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Scientific paper

In this paper we prove that $2^{20+1}.U_6(2)$, known as the centralizer of an
involution in the group $2E_6(2)$ is a quotient of a Coxeter group. We obtain a
presentation of $2^{20+1}.U_6(2)$ as a $Q_{222}$-group, which now resolve a
long pending question.

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