H. Laxmi

collaborators

3 papers

math.NT2025

Stability of 2-class groups in the $Z_{2}$ -extension of certain real biquadratic fields

H Laxmi, Anupam Saikia

Greenberg's conjecture on the stability of $ℓ$ -class groups in the cyclotomic $Z_{ℓ}$ -extension of a real field has been proven for various infinite families of real…

math.NT2024

Unramified Iwasawa module of $Z_{2}$ -extension of certain quadratic fields with a bounded quotient

H Laxmi, Anupam Saikia

We consider an infinite family of real quadratic fields $k$ where the discriminant has three distinct odd prime factors, and the prime 2 splits. We show that the unramified Iwasawa…

math.NT2024

$Z_{2}$ -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…

Stability of 2-class groups in the Z2​-extension of certain real biquadratic fields

Unramified Iwasawa module of Z2​-extension of certain quadratic fields with a bounded quotient

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

Stability of 2-class groups in the $Z_{2}$ -extension of certain real biquadratic fields

Unramified Iwasawa module of $Z_{2}$ -extension of certain quadratic fields with a bounded quotient

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