Some Local-global Applications of Kummer Theory
نویسنده
چکیده
We consider some problems in number theory which turn out to depend on various aspects of Kummer theory; among them are (1) does the assertion “b is in the subgroup generated by a” obey a local-global principle for points of an algebraic group over a number field; (2) if two abelian varieties have the same n-division fields for n > 1, what relation is there between them?
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