Geodesic
Restricted Determinantal Homomorphisms and Locally Free Class Groups
Canadian journal of mathematics, Tome 42 (1990) no. 4, pp. 646-658

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

Let K be a number field and let OK denote the integers of K. The locally free class groups, Cl(OK [G]), furnish a fundamental collection of invariants of a finite group, G. In this paper I will construct some new, non-trivial homomorphisms, called restricted determinants, which map the NGH-invariant idèlic units of Ok([Hab] to Cl(OK [G]). These homomorphisms are constructed by means of the Horn-description of Cl(OK [G]), which describes the locally free class group in terms of the representation theory of G, and the technique of Explicit Brauer Induction, which was introduced in [5]. 
Snaith, Victor. Restricted Determinantal Homomorphisms and Locally Free Class Groups. Canadian journal of mathematics, Tome 42 (1990) no. 4, pp. 646-658. doi: 10.4153/CJM-1990-034-7
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