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David J. Schmitz
Canonical and filling subgroups of formal groups
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Published: |
August 27, 2006 |
Keywords: |
p-adic formal groups, congruence-torsion subgroups
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Subject: |
11S31, 14L05 |
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Abstract
Let F be a one-dimensional full or almost full p-adic formal group. We look for finite subgroups C of F for which the quotient formal group F/C is full. In particular, we investigate the connection between such groups and the congruence-torsion subgroups of F described in Lubin, 1979. In doing so, we prove a conjecture of Jonathan Lubin concerning this relationship when F has height 2.
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Acknowledgements
This work was partially funded by a North Central College Junior Faculty Enhancement Grant.
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Author information
Department of Mathematics, North Central College, 30 N Brainard St, Naperville, IL 60540
djschmitz@noctrl.edu
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