Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {R. Zh. Aleev},
     title = {The {Units} of {Character} {Fields} and {the~Central} {Units} of {Integer} {Group} {Rings} of {Finite} {Groups}},
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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/