H Laxmi

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20222024

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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.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…

math.NT2022

On the $p$ -rationality of consecutive quadratic fields

Jaitra Chattopadhyay, H Laxmi, Anupam Saikia

In 2016, in the work related to Galois representations, Greenberg conjectured the existence of multi-quadratic $p$ -rational number fields of degree $2^{t}$ for any odd prime number…

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

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

On the p-rationality of consecutive quadratic fields

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

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

On the $p$ -rationality of consecutive quadratic fields