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This is a revised and translated version of the author's diploma thesis (Univ. Freiburg i. Br., 1987).
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Krandick, W. On the homological significance of the group of rationals with square-free denominators. Arch. Math 52, 122–131 (1989). https://doi.org/10.1007/BF01191264
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DOI: https://doi.org/10.1007/BF01191264