Geodesic
Functors on Finite Vector Spaces and Units in Abelian Group Rings
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 79-83

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If A is an elementary abelian group, let (A) denote the group of units, modulo torsion, of the group ring Z[A]. We study (A) by means of the composite where C and B run over all cyclic subgroups and factor-groups, respectively. This map, γ, is known to be injective; its index, too, is known. In this paper, we determine the rank of γ tensored (over Z);with various fields. Our main result depends only on the functoriality of
DOI : 10.4153/CMB-1986-015-1
Mots-clés : 16A26, 20K05, 13F99, 18F99 
Hoechsmann, Klaus. Functors on Finite Vector Spaces and Units in Abelian Group Rings. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 79-83. doi: 10.4153/CMB-1986-015-1
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     author = {Hoechsmann, Klaus},
     title = {Functors on {Finite} {Vector} {Spaces} and {Units} in {Abelian} {Group} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {79--83},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-015-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-015-1/}
}
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