Mathematics – Group Theory
Scientific paper
2007-12-11
Mathematics
Group Theory
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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