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Group rings and the norm groups. (English) Zbl 0807.11048
The author’s purpose is to determine the set of all polynomials in $$\mathbb{Z}[t]$$ with $$f(t)$$ dividing $$t^ n-1$$ of a form called $$H$$-type (which means that if $$G$$ is a cyclic group of order $$a$$ generated by $$\sigma$$ then $$a^{f(\sigma)}=1$$ implies the existence of a $$b$$ with $$a=b^{(\sigma^ n -1)/ f(\sigma)}$$).
Reviewer: R.Mollin (Calgary)
##### MSC:
 11R09 Polynomials (irreducibility, etc.)
##### Keywords:
polynomials; $$H$$-type
Full Text:
##### References:
 [1] S. Endo and T. Miyata: Quasi-permutation modules over finite groups. J. Math. Soc. Japan, 25, 397-421 (1973). · Zbl 0253.20012 [2] W. Hurlimann: A cyclotomic Hilbert 90 theorem. Arch. Math., 43, 25-26 (1984). · Zbl 0522.12021 [3] S. lyanaga (ed.): The Theory of Numbers. North Holland, American Elsevier, New York (1975). · Zbl 0327.12001
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