Geodesic
Centroids of algebraic groups
Algebra i logika, Tome 51 (2012) no. 4, pp. 496-523.

Voir la notice de l'article provenant de la source Math-Net.Ru

We look at interconnections between two known analogs of the concept of a ring centroid in the class of algebraic groups.
Mots-clés : algebraic group, centroid. 
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K. N. Ponomarev. Centroids of algebraic groups. Algebra i logika, Tome 51 (2012) no. 4, pp. 496-523. http://geodesic.mathdoc.fr/item/AL_2012_51_4_a4/

[1] K. N. Ponomarëv, Zhëstkie algebry i neassotsiativnye koltsa, izd-vo NGTU, Novosibirsk, 2007

[2] K. N. Ponomarëv, “Faktor-morfizmy nilpotentnykh grupp”, Sib. matem. zh., 32:3 (1991), 119–125 | MR | Zbl

[3] S. Lioutikov, A. Myasnikov, “Centroids of groups”, J. Group Theory, 3:2 (2000), 177–197 | DOI | MR | Zbl

[4] K. N. Ponomarëv, “Faktor-morfizmy i tsentroidy lokalno nilpotentnykh grupp”, Algebra i logika, 50:1 (2011), 42–67 | MR | Zbl

[5] K. N. Ponomarëv, “Tsentroidy algebraicheskikh grupp”, Algebra, logika i prilozheniya, Tezisy dokl. mezhd. konf., Krasnoyarsk, 2010, 74–75

[6] Dzh. Khamfri, Lineinye algebraicheskie gruppy, Nauka, M., 1980 | MR

[7] A. G. Kurosh, Teoriya grupp, Nauka, M., 1967 | MR | Zbl

[8] A. Borel, Lineinye algebraicheskie gruppy, Mir, M., 1972 | MR | Zbl

[9] P. M. Cohn, “Eine Bemerkung über die multiplikative Gruppe eines Körpers”, Arch. Math., 13 (1962), 344–348 | DOI | MR | Zbl

[10] W. May, “Multiplicative groups of fields”, Proc. Lond. Math. Soc., III Ser., 24 (1972), 295–306 | DOI | MR | Zbl

[11] L. Fuks, Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977