English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Let $p_1 \equiv p_2 \equiv5\pmod8$ be different primes. Put $i=\sqrt{-1}$ and$d=2p_1p_2$, then the bicyclic biquadratic field $k=Q(\sqrt{d}, \sqrt{-1})$ hasan elementary abelian 2-class group of rank $3$. In this paper we determine thenilpotency class, the coclass, the generators and the structure of thenon-abelian Galois group $\mathrm{Gal}(k_2^{(2)}/k)$ of the second Hilbert2-class field $k_2^{(2)}$ of $k$. We study the capitulation problem of the2-classes of $k$ in its seven unramified quadratic extensions $K_i$ and in itsseven unramified bicyclic biquadratic extensions $L_i$.

Structure of $Gal(k_2^{(2)}/k)$ for some fields $k=Q(\sqrt{ 2p_1p_2}, \sqrt{-1})$