The Units of Character Fields and the~Central Units of Integer Group Rings of Finite Groups
Matematičeskie trudy, Tome 3 (2000) no. 1, pp. 3-37.

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The article is devoted to studying the relations between the units of character fields and the central units of integer group rings. It is shown that some power of a unit of a character field always results in a central unit (Theorem 1). To determine this power, the exponent is found of the unit group of the quotient ring of the integer ring of an abelian field by a power of a prime ideal (Theorem 2), and this exponent is used to answer the question 12.1. b in the “Kourovka Notebook” (Theorem 3).
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R. Zh. Aleev. The Units of Character Fields and the~Central Units of Integer Group Rings of Finite Groups. Matematičeskie trudy, Tome 3 (2000) no. 1, pp. 3-37. http://geodesic.mathdoc.fr/item/MT_2000_3_1_a0/