Geodesic
Canonical Representatives in Strict Isomorphism Classes of Formal Groups
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 183-189 Cet article a éte moissonné depuis la source Math-Net.Ru

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The aim of the present paper is to explicitly construct canonical representatives in every strict isomorphism class of commutative formal groups over an arbitrary torsion-free ring. The case of an $\mathbb Z_{(p)}$-algebra is treated separately. We prove that, under natural conditions on a subring, the canonical representatives of formal groups over the subring agree with the representatives for the ring. Necessary and sufficient conditions for a mapping induced on strict isomorphism classes of formal groups by a homomorphism of torsion-free rings to be injective and surjective are established.
Keywords: commutative formal group, strict isomorphism, torsion-free ring, canonical representatives, universal curvilinear law. 
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M. V. Bondarko. Canonical Representatives in Strict Isomorphism Classes of Formal Groups. Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 183-189. http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a2/

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