l Class groups under relative quadratic extensions
Speaker
l Qin Yue
Date
l 2013-02-21
Link
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l The Arithmetic of Function Fields and Related Topics (2. 18~21)
Let $E$ be a relative quadratic extension of a number field $F$, the 2-Sylow subgroup of the class group of $F$ elementary abelian, and the $S$-ideal class number of $F$ odd, where $S$ is a set consisting of all infinite primes and some finite primes of $F$ ramifying in $E$. In this paper, we compute the 2-rank and 4-rank of the class group of $E$.
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