Geodesic
Group structures on algebraic varieties
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 52-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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We explore to what extent the group variety of an algebraic group determines its group structure.
Mots-clés : algebraic group, isomorphism.
Keywords: group variety 
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     author = {V. L. Popov},
     title = {Group structures on algebraic varieties},
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}
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V. L. Popov. Group structures on algebraic varieties. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 52-54. http://geodesic.mathdoc.fr/item/DANMA_2021_500_a9/

[1] Baum P.F., Browder W., “The cohomology of quotients of classical groups”, Topology, 3 (1965), 305–336 | DOI | MR | Zbl

[2] Brion M., “Some structure theorems for algebraic groups”, Proc. Sympos. Pure Math., 94, Amer. Math. Soc., Providence, RI, 2017, 53–126 | DOI | MR | Zbl

[3] Lazard M., “Sur le nilpotence de certains groupes algebriques”, CRAS Paris, 241 (1955), 1687–1689 | MR | Zbl

[4] Rosenlicht M., “Toroidal algebraic groups”, Proc. Amer. Math. Soc., 12 (1961), 984–988 | DOI | MR | Zbl