Geodesic
About systems of generators of some groups with 3-transpositions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 285-301 Cet article a éte moissonné depuis la source Math-Net.Ru

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The generator systems of groups $Sp(2n,2)$, $O^+(2n,2)$ and $O^-(2n,2)$ which are similar to generators systems of Weyl groups of Lie algebras $E_6$, $E_7$ and $E_8$ are found.
Keywords: Coxeter groups, generators and relations, groups with 3-transpositions. 
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A. I. Sozutov; A. A. Kuznetsov; V. M. Sinitsin. About systems of generators of some groups with 3-transpositions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 285-301. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a8/

[1] M. Aschbacher, 3-transposition groups, Cambridge University Press, Cambridge, 1997 | MR | Zbl

[2] N. Burbaki, Gruppy i algebry Li, v. 6, Gruppy Koskstera i sistemy Tiksa, gruppy, porozhdennye otrazheniyami sistemy kornei, Mir, Moskva, 1972 | MR

[3] A. A. Kuznetsov, V. M. Sinitsin, “Geneticheskie kody nekotorykh grupp, porozhdennykh 3-transpozitsiyami”, Sb. tez. mezhdunar. konf. po algebre i geometrii, posvyaschennoi 80-letiyu so dnya rozhdeniya A. I. Starostina (Ekaterinburg, 2011), 95–96 | Zbl

[4] A. I. Sozutov, “O gruppakh tipa $\Sigma _4$, porozhdennykh 3-transpozitsiyami”, Sibirskii matematicheskii zhurnal, 33:1 (1992), 140–149 | MR | Zbl

[5] A. S. Kondratev, Gruppy i algebry Li, UrO RAN, Ekaterinburg, 2009

[6] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford, 1985 | MR | Zbl