Geodesic
On groups of central units of integral group rings of alternating groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 3-11

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The basic aim of this paper is to completely describe groups of central units of integral group rings of alternating groups in the case when the group of central units has rank 1. The results are obtained in two stages. First, it is proved that the generator of the group of central units is local. Then, its exact value is found.
Keywords: group ring, alternating group, central unit, local unit, minimal central idempotent, irreducible character, exponent of group. 
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R. Zh. Aleev; V. V. Sokolov. On groups of central units of integral group rings of alternating groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 3-11. http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a0/