References
Carlitz, L.: A characterization of algebraic number fields with class number two. Proc. Amer. Math. Soc.11, 391–392 (1960)
Czogala, A.: Arithmetic characterization of algebraic number fields with small class numbers. Math. Z.176, 247–253 (1981)
Narkiewicz, W.: Elementary and Analytic Theory of Algebraic Numbers. Warszawa: Polish Scientific Publishers 1974
Narkiewicz, W.: Finite abelian groups and factorization problems. Colloq. Math.42, 319–330 (1979)
Narkiewicz, W., Śliwa, J.: Finite abelian groups and factorization problems II. Colloq. Math.46, 115–122 (1982)
Olson, J.E.: A combinatorial problem on finite abelian groups I. J. Number Theory1, 8–10 (1969)
Zaks, A.: Half-factorial domains. Israel J. Math.37, 281–302 (1980)
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Krause, U. A characterization of algebraic number fields with cyclic class group of prime power order. Math Z 186, 143–148 (1984). https://doi.org/10.1007/BF01161801
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DOI: https://doi.org/10.1007/BF01161801