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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The heights of formal $ A$-modules


Author: William C. Waterhouse
Journal: Proc. Amer. Math. Soc. 46 (1974), 332-334
MSC: Primary 14L05
MathSciNet review: 0347837
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Abstract | References | Similar Articles | Additional Information

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 $ \vert A:{{\mathbf{Z}}_p}\vert$; and if $ A$ acts on the tangent space by scalar multiplications, the dimension of the group is at most $ h/\vert A:{{\mathbf{Z}}_p}\vert$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0347837-X
PII: S 0002-9939(1974)0347837-X
Article copyright: © Copyright 1974 American Mathematical Society



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