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- W1978655309 abstract "R. Gow has investigated the problem of determining classical polynomials with Galois group Am, the alternating group on m letters, in the case that m is even (odd m being previously handled in work of I. Schur). He showed that the generalized Laguerre polynomial Lm(m)(x), defined below, has Galois group Am provided m>2 is even and Lm(m)(x) is irreducible (and obtained irreducibility in some cases). In this paper, we establish that Lm(m)(x) is irreducible for almost all m (and, hence, has Galois group Am for almost all even m)." @default.
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- W1978655309 date "2003-06-01" @default.
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- W1978655309 title "On the irreducibility of a certain class of Laguerre polynomials" @default.
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- W1978655309 doi "https://doi.org/10.1016/s0022-314x(02)00129-4" @default.
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