Geodesic
Integral Group Rings Without Proper Units
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 36-42

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If A is an elementary abelian ρ-group and C one of its cyclic subgroups, the integral group rings ZA contains, of course, the ring ZC. It will be shown below, for A of rank 2 and ρ a regular prime, that every unit of ZA is a product of units of ZC, as C ranges over all cyclic subgroups.
DOI : 10.4153/CMB-1987-005-6
Mots-clés : Primary 20C05, Secondary 16A25, 16A18 
Hoechsmann, K.; Sehgal, S.K. Integral Group Rings Without Proper Units. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 36-42. doi: 10.4153/CMB-1987-005-6
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     title = {Integral {Group} {Rings} {Without} {Proper} {Units}},
     journal = {Canadian mathematical bulletin},
     pages = {36--42},
     year = {1987},
     volume = {30},
     number = {1},
     doi = {10.4153/CMB-1987-005-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-005-6/}
}
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