Quillen Suslin theory for algebraic fundamental group

2021/09/14 by Sridharan, Raja, Upadhyay, Sumit Kumar, Yadav, Sunil Kumar
#Commutative Algebra (math.AC) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2109.06477

Abstract

In this paper, we attempt to develop the Quillen Suslin theory for the algebraic fundamental group of a ring. We give a surjective group homomorphism from the algebraic fundamental group of the field of the real numbers to the group of integers. At the end of the paper, we also propose some problems related to the algebraic fundamental group of some particular type of rings.

Related

• Quillen–Suslin theory for the special linear group
• Quillen--Suslin Theory; Revisited over Graded Rings
• Homological symbols and the Quillen conjecture
• The Pillars of Relative Quillen--Suslin Theory
• The Fundamental Group of an Algebraic Stack