Field Generated by Division Points of Certain Formal Group Laws
Soumyadip Sahu
TL;DR
This paper investigates the Galois groups of fields generated by division points of specific formal group laws, establishing conditions for abelian groups and exploring connections with endomorphism rings.
Contribution
It provides new criteria for the Galois group to be abelian and links the structure of endomorphism rings with Galois groups in formal group laws.
Findings
Characterization of when the Galois group is abelian.
Relations between endomorphism rings and Galois groups.
Conditions linking formal group properties to Galois theory.
Abstract
In this article we study the Galois group of field generated by division points of special class of formal group laws and prove an equivalent condition for the group to be abelian. Further, we explore relations between the endomorphism ring of a formal group and the Galois group of field generated by division points.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques