Remarks on non-abelian cohomology of proalgebraic groups
Publication
, Journal Article
Hain, R
Published in: Journal of Algebraic Geometry
June 18, 2013
In this paper we develop a theory of non-abelian cohomology for proalgebraic groups which is used in J. Amer. Math. Soc. 24 (2011), 709-769 to study the unipotent section conjecture. The non-abelian cohomology H 1nab(G,P) is a scheme. The argument G is a proalgebraic group; the coefficient group P is prounipotent with trivial center and endowed with an outer action of G. This outer action uniquely determines an extension Ĝ of G by P. With suitable hypotheses, the scheme H1nab(G,P) parametrizes the P conjugacy classes of sections of Ĝ →G. © 2013 University Press, Inc.
Duke Scholars
Published In
Journal of Algebraic Geometry
DOI
ISSN
1056-3911
Publication Date
June 18, 2013
Volume
22
Issue
3
Start / End Page
581 / 598
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Hain, R. (2013). Remarks on non-abelian cohomology of proalgebraic groups. Journal of Algebraic Geometry, 22(3), 581–598. https://doi.org/10.1090/S1056-3911-2013-00598-6
Hain, R. “Remarks on non-abelian cohomology of proalgebraic groups.” Journal of Algebraic Geometry 22, no. 3 (June 18, 2013): 581–98. https://doi.org/10.1090/S1056-3911-2013-00598-6.
Hain R. Remarks on non-abelian cohomology of proalgebraic groups. Journal of Algebraic Geometry. 2013 Jun 18;22(3):581–98.
Hain, R. “Remarks on non-abelian cohomology of proalgebraic groups.” Journal of Algebraic Geometry, vol. 22, no. 3, June 2013, pp. 581–98. Scopus, doi:10.1090/S1056-3911-2013-00598-6.
Hain R. Remarks on non-abelian cohomology of proalgebraic groups. Journal of Algebraic Geometry. 2013 Jun 18;22(3):581–598.
Published In
Journal of Algebraic Geometry
DOI
ISSN
1056-3911
Publication Date
June 18, 2013
Volume
22
Issue
3
Start / End Page
581 / 598
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics