On the bases of the image of 2-adic logarithm on the group of principal units

Mabud Ali Sarkar and Absos Ali Shaikh – GJM, Volume 8, Issue 1 (2023), 69-77.

Post by: administration
août 8, 2023
Comments off

This paper computes the bases of the image of the $2$ -adic logarithm on the group of the principal units in all 7 quadratic extensions of $\mathbb{Q}_2$ . This helps one understand the free module structure of the $2$-adic logarithm at arbitrary points on its domain. We discuss some applications at the end.

Categories: 2023, Issue1

Milestones:

Received: November 02, 2022
Accepted: March 01, 2023
Revised: April 13, 2023
Published online: August 08, 2023

Authors:

Mabud Ali Sarkar and Absos Ali Shaikh
Department of Mathematics,
The University of Burdwan
Burdwan-713104, India.

Download:

Print Version