6 citations · 10 across the 15 of their papers we have counts for
17 papers
Stability of 2-class groups in the -extension of certain real biquadratic fields
H Laxmi, Anupam Saikia
Greenberg's conjecture on the stability of -class groups in the cyclotomic -extension of a real field has been proven for various infinite families of real…
Unramified Iwasawa module of -extension of certain quadratic fields with a bounded quotient
H Laxmi, Anupam Saikia
We consider an infinite family of real quadratic fields where the discriminant has three distinct odd prime factors, and the prime 2 splits. We show that the unramified Iwasawa…
-extension of real quadratic fields with as -class group at each layer
H Laxmi, Anupam Saikia
Let be a real quadratic field with having three distinct prime factors. We show that the -class group of each layer in the -extension…
A brief survey of recent results on Pólya groups
Jaitra Chattopadhyay, Anupam Saikia
The Pólya group of an algebraic number field is a particular subgroup of the ideal class group. This article provides an overview of recent results on Pólya groups of number fields…
On the structure and stability of ranks of -class groups in cyclotomic -extensions of certain real quadratic fields
Jaitra Chattopadhyay, H Laxmi, Anupam Saikia
For a real quadratic field with discriminant having four distinct prime factors, we study the structure of the -class group of the f…
On the -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 -rational number fields of degree for any odd prime number…