Geodesic
A new look at the decomposition of unipotents and the normal structure of Chevalley groups
Algebra i analiz, Tome 28 (2016) no. 3, pp. 161-173.

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

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A. V. Stepanov. A new look at the decomposition of unipotents and the normal structure of Chevalley groups. Algebra i analiz, Tome 28 (2016) no. 3, pp. 161-173. http://geodesic.mathdoc.fr/item/AA_2016_28_3_a4/

[1] Borevich Z. I., Vavilov N. A., “Raspolozhenie podgrupp v polnoi lineinoi gruppe nad kommutativnym koltsom”, Tr. MIAN, 165, 1984, 24–42 | MR | Zbl

[2] Vavilov N. A., Stavrova A. K., “Osnovnye reduktsii v zadache opisaniya normalnykh podgrupp”, Zap. nauch. semin. POMI, 349, 2007, 30–52

[3] Vavilov N. A., Stepanov A. V., “Nadgruppy poluprostykh grupp”, Vestn. SamGU. Estestvennonauchn. ser., 2008, no. 3, 51–95 | MR | Zbl

[4] Vasershtein L. N., “O stabilizatsii obschei lineinoi gruppy nad koltsom”, Mat. sb., 79(121):3 (1969), 405—424 | MR | Zbl

[5] Golubchik I. Z., “O polnoi lineinoi gruppe nad assotsiativnym koltsom”, Uspekhi mat. nauk, 28:3 (1973), 179–180 | MR | Zbl

[6] Abe E., “Normal subgroups of Chevalley groups over commutative rings”, Contemp. Math., 83, Amer. Math. Soc., Providence, RI, 1989, 1–17 | DOI | MR

[7] Abe E., Suzuki K., “On normal subgroups of Chevalley groups over commutative rings”, Tohoku Math. J. (2), 28:2 (1976), 185–198 | DOI | MR | Zbl

[8] Borel A., Tits J., “Groupes réductifs”, Inst. Hautes Études Sci. Publ. Math., 27 (1965), 55–150 | DOI | MR

[9] Demazure M., Grothendieck A., Schémas en groupes, Lecture Notes in Math., 151–153, Springer-Verlag, Berlin–Heidelberg–New York, 1970 | MR

[10] Jantzen J. C., Representations of algebraic groups, Math. Surveys Monogr., 107, 2nd ed., Amer. Math. Soc., Providence, RI, 2003 | MR | Zbl

[11] Stein M. R., “Generators, relations, and coverings of Chevalley groups over commutative rings”, Amer. J. Math., 93 (1971), 965–1004 | DOI | MR | Zbl

[12] Stepanov A., “Elementary calculus in Chevalley groups over rings”, J. Prime Res. Math., 9 (2013), 79–95 | MR | Zbl

[13] Stepanov A. V., “Structure of Chevalley groups over rings via universal localization”, J. Algebra, 450 (2016), 522–548 | DOI | MR | Zbl

[14] Stepanov A. V., Vavilov N. A., “Decomposition of transvections: Theme with variations”, K-Theory, 19:2 (2000), 109–153 | DOI | MR | Zbl

[15] Vaserstein L. N., “On normal subgroups of Chevalley groups over commutative rings”, Tohoku Math. J. (2), 38 (1986), 219–230 | DOI | MR | Zbl