Geodesic
Canonical Representatives in Strict Isomorphism Classes of Formal Groups
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 183-189

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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. 
@article{MZM_2007_82_2_a2,
     author = {M. V. Bondarko},
     title = {Canonical {Representatives} in {Strict} {Isomorphism} {Classes} of {Formal} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {183--189},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a2/}
}
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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/