On the 2-rank and 4-rank of the class group of some real pure quartic number fields
On the 2-rank and 4-rank of the class group of some real pure quartic number fields
Abstract Let K = ℚ <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mtable rowspacing="4pt" columnspacing="1em"> <m:mtr> <m:mtd> <m:mstyle displaystyle="true"> <m:mo stretchy="false">(</m:mo> <m:mroot> <m:mrow> <m:mi>p</m:mi> <m:msup> <m:mi>d</m:mi> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msup> </m:mrow> <m:mn>4</m:mn> </m:mroot> <m:mo stretchy="false">)</m:mo> </m:mstyle> </m:mtd> </m:mtr> </m:mtable> </m:math> $\begin{array}{} \displaystyle (\sqrt[4]{pd^{2}}) \end{array}$ be a real pure quartic number field and k = ℚ( …