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Published online by Cambridge University Press: 20 November 2018
The following problem arose in connection with the study of Poincaré polynomials for homogeneous spaces. Let
gi hi positive integers and set d = (h1, h1,…, hk), the greatest common divisors of the exponents in the denominator. Let h i = dr i and assume that the ri′s are comprime in pairs, i.e.