On the fundamental group schemes of certain quotient varieties
Indranil Biswas, Ph\`ung H\^o Hai, Jo\~ao Pedro dos Santos

TL;DR
This paper extends Armstrong's classical theorem on fundamental groups to the setting of $F$-divided and essentially finite group schemes, broadening the understanding of quotient varieties in algebraic geometry.
Contribution
It provides an analogue of Armstrong's theorem for fundamental group schemes, a significant generalization in algebraic geometry.
Findings
Established an analogue of Armstrong's theorem for $F$-divided fundamental group schemes.
Extended classical results to the setting of essentially finite group schemes.
Enhanced understanding of the fundamental group schemes of quotient varieties.
Abstract
In \cite{armstrong}, M. Armstrong proved a beautiful result describing fundamental groups of quotient spaces. In this paper we prove an analogue of Armstrong's theorem in the setting of -divided \cite{dS07} and essentially finite \cite{Nori76} fundamental group schemes.
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