Geodesic
Bicyclic Units in some Integral Group Rings
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 80-86

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A description is given of the unit group for the two groups G = D 12 and G = D 8 × C 2. In particular, it is shown that in both cases the bicyclic units generate a torsion-free normal complement. It follows that the Bass-cyclic units together with the bicyclic units generate a subgroup of finite index in for all n ≥ 3.
DOI : 10.4153/CMB-1995-010-4
Mots-clés : 16S34, 16U60 
Jespers, E. Bicyclic Units in some Integral Group Rings. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 80-86. doi: 10.4153/CMB-1995-010-4
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     author = {Jespers, E.},
     title = {Bicyclic {Units} in some {Integral} {Group} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {80--86},
     year = {1995},
     volume = {38},
     number = {1},
     doi = {10.4153/CMB-1995-010-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-010-4/}
}
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