English

Quillen Suslin theory for algebraic fundamental group

Group Theory 2021-09-15 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.2109.06477,
  title  = {Quillen Suslin theory for algebraic fundamental group},
  author = {Raja Sridharan and Sumit Kumar Upadhyay and Sunil Kumar Yadav},
  journal= {arXiv preprint arXiv:2109.06477},
  year   = {2021}
}