Geodesic
New Proofs for two Theorems of Capelli
Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 431-433

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The following two theorems are due to Capelli.THEOREM 1. Let g(x) and h(x) be polynomials over a field R of characteristic 0; let f(x) = g(h(x)). Then f(x) is irreducible over R if and only if (i) g(x) is irreducible over R and (ii) h(x) - β is irreducible over R(β), where β is a root of g(x). 
Rowlinson, Elizabeth. New Proofs for two Theorems of Capelli. Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 431-433. doi: 10.4153/CMB-1964-042-9
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     title = {New {Proofs} for two {Theorems} of {Capelli}},
     journal = {Canadian mathematical bulletin},
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     year = {1964},
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     number = {3},
     doi = {10.4153/CMB-1964-042-9},
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