On Class Number Divisibility of Number Fields and Points on Elliptic Curves

Debopam Chakraborty ()
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Debopam Chakraborty: BITS-Pilani, Department of Mathematics

A chapter in Class Groups of Number Fields and Related Topics, 2020, pp 109-112 from Springer

Abstract: Abstract The class group of a number field K measures how far its ring of integers is from having unique factorization into irreducible elements. It is the quotient of the group of all fractional ideals of K by the subgroups of principal fractional ideals. It is well known from class field theory that the ideal class group is also the Galois group of the maximal unramified abelian extension of K.

Date: 2020
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DOI: 10.1007/978-981-15-1514-9_10

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