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A112090

Degrees of nonconstant complex polynomials f(x) and g(x) such that (1) neither f nor g can be written nontrivially as r(s(x)), (2) f(x) does not equal g(ax+b) for complex numbers a,b and (3) f(x)-g(y) is reducible as a complex polynomial in two variables.

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7, 11, 13, 15, 21, 31 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`There are no further terms. The proof of this statement uses the classification of finite simple groups.`
	REFERENCES	`J. W. S. Cassels, Factorization of polynomials in several variables, Proc. Fifteenth Scandinavian Congress (Oslo, 1968), vol. 118, Lecture Notes in Mathematics, Springer, Berlin, pp. 1-17.` `W. Feit, Some consequences of the classification of finite simple groups, in The Santa Cruz Conference on Finite Simple Groups, Proc. Sympos. Pure Math. 37, American Mathematical Society, 1980, pp. 175-181.`
	CROSSREFS	`Sequence in context: A075930 A014311 A051266 this_sequence A103487 A112588 A128974` `Adjacent sequences: A112087 A112088 A112089 this_sequence A112091 A112092 A112093`
	KEYWORD	`fini,full,nonn`
	AUTHOR	`R. P. Stanley (rstan(AT)math.mit.edu), Nov 29 2005`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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