Geodesic
Units in Integral Group Rings for Order pq
Canadian journal of mathematics, Tome 47 (1995) no. 1, pp. 113-131

Voir la notice de l'article provenant de la source Cambridge University Press

For any finite abelian group A, let Ω(A) denote the group of units in the integral group ring which are mapped to cyclotomic units by every character of A. It always contains a subgroup Y(A), of finite index, for which a basis can be systematically exhibited. For A of order pq, where p and q are odd primes, we derive estimates for the index [Ω(A) : Y(A)]. In particular, we obtain conditions for its triviality.
DOI : 10.4153/CJM-1995-006-4
Mots-clés : 20C05, 11T22 
Hoechsmann, Klaus. Units in Integral Group Rings for Order pq. Canadian journal of mathematics, Tome 47 (1995) no. 1, pp. 113-131. doi: 10.4153/CJM-1995-006-4
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