The heights of formal $A$-modules
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- by William C. Waterhouse PDF
- Proc. Amer. Math. Soc. 46 (1974), 332-334 Request permission
Abstract:
Let $A$ be a discrete valuation ring, finite over ${{\mathbf {Z}}_p}$, acting on a commutative formal Lie group of height $h$. Then $h$ is a multiple of $|A:{{\mathbf {Z}}_p}|$; and if $A$ acts on the tangent space by scalar multiplications, the dimension of the group is at most $h/|A:{{\mathbf {Z}}_p}|$.References
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P. Cartier, Relèvement des groupes formels commutatifs, Séminaire Bourbaki: 1968/69, Exposé 359, Lecture Notes in Math., vol. 179, Springer-Verlag, Berlin and New York, 1971. MR 42 #7460.
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 332-334
- MSC: Primary 14L05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0347837-X
- MathSciNet review: 0347837