H. Laxmi

activity

20222026

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math.NT2023

$Z_{2}$ -extension of real quadratic fields with $Z /2 Z$ as $2$ -class group at each layer

H Laxmi, Anupam Saikia

Let $K = Q (d)$ be a real quadratic field with $d$ having three distinct prime factors. We show that the $2$ -class group of each layer in the $Z_{2}$ -extension…

math.NT2023

On the structure and stability of ranks of $2$ -class groups in cyclotomic $Z_{2}$ -extensions of certain real quadratic fields

Jaitra Chattopadhyay, H Laxmi, Anupam Saikia

For a real quadratic field $K = Q (d)$ with discriminant $D_{K}$ having four distinct prime factors, we study the structure of the $2$ -class group $A (K_{1})$ of the f…

Z2​-extension of real quadratic fields with Z/2Z as 2-class group at each layer

On the structure and stability of ranks of 2-class groups in cyclotomic Z2​-extensions of certain real quadratic fields

$Z_{2}$ -extension of real quadratic fields with $Z /2 Z$ as $2$ -class group at each layer

On the structure and stability of ranks of $2$ -class groups in cyclotomic $Z_{2}$ -extensions of certain real quadratic fields