Tohoku Mathematical Journal
2021
December
SECOND SERIES VOL. 73, NO. 4

Tohoku Math. J.
73 (2021), 565-595

Title ON THE FUNDAMENTAL GROUP SCHEMES OF CERTAIN QUOTIENT VARIETIES

Author Indranil Biswas, Phùng Hô Hai and João Pedro Dos Santos

(Received May 13, 2019, revised April 21, 2020)
Abstract. 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.

Mathematics Subject Classification. Primary 14F35.
Key words and phrases. $F$-divided fundamental group scheme, essentially finite fundamental group scheme, quotient space, isotropy subgroup.

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