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A Coxeter group is a group defined by a presentation by involutions $r_i$ with relators $(r_ir_j)^{m_{ij}}=1$ for certain family $(m_{ij})$ of integers greater than 1.

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The orders of the exceptional Weyl groups

The orders of the Weyl groups of root systems of type $E_6$, $E_7$, $E_8$ seem to appear in a 1894 Comptes Rendus paper [1] of Cartan, pp. 641-642. The paper [2] has the details and the orders appear …
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