Journal
TOHOKU MATHEMATICAL JOURNAL
Volume 73, Issue 4, Pages 565-595Publisher
TOHOKU UNIVERSITY
DOI: 10.2748/tmj.20200727
Keywords
F-divided fundamental group scheme; essentially finite fundamental group scheme; quotient space; isotropy subgroup
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Funding
- J.C. Bose Fellowship
- project Implementation of the Agreement LIA FORMATH VIETNAM of VAST [QTFR01.04/18-19]
- International Centre for Research and Postgraduate Training in Mathematics (ICRTM), Institute of Mathematics, VAST [ICRTM01_2019.01-2020.05]
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This paper proves an analogue of Armstrong's theorem in the setting of F-divided and essentially finite fundamental group schemes.
In [Ar68], 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 F-divided [dS07] and essentially finite [No76] fundamental group schemes.
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