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An explicit embedding of the Tits group in the compact real form of $E_6$
Published 21 Aug 2012 in math.GR | (1208.4221v1)
Abstract: We construct a set of $27\times 27$ unitary matrices which give an explicit embedding of the Tits group in the compact real form of the Lie group of type $E_6$. A subset gives an embedding of $\mathrm{PSL}_2(25)$ in $F_4$.
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