Geodesic
The Reduction of an RG–Lattice Modulo pn
Canadian journal of mathematics, Tome 42 (1990) no. 2, pp. 342-364

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

We define the cover of an RG-module V to consist of an RG lattice Ṽ and a homomorphism π : Ṽ→ V such that π induces an isomorphism on Ext* RG (M, —) for any RG-lattice M. Here G is a finite group and, for simplicity in this introduction, R is a complete discrete valuation ring of characteristic zero with prime element p and perfect valuation class field. Let pn(G) be the highest power of p that divides |G| and, given an RG-lattice M, let pn(M) be the smallest power of p such that pn(M) idM : M→M factors through a projective lattice: n(M)≦n(G). 
Symonds, Peter. The Reduction of an RG–Lattice Modulo pn. Canadian journal of mathematics, Tome 42 (1990) no. 2, pp. 342-364. doi: 10.4153/CJM-1990-019-0
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