On free subgroup in Artin group with tree-structure
Čebyševskij sbornik, Tome 15 (2014) no. 1, pp. 32-42.

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Let $G$ be finitely generated Artin group with tree-structure defined by the presentation $G = $
Keywords: Artin group with tree-structure, the subgroup, amalgamated product.
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V. N. Bezverkhniy; I. V. Dobrynina. On free subgroup in Artin group with tree-structure. Čebyševskij sbornik, Tome 15 (2014) no. 1, pp. 32-42. http://geodesic.mathdoc.fr/item/CHEB_2014_15_1_a3/

[1] Bezverkhnii V. N., Karpova O. Yu., “Problemy ravenstva i sopryazhennosti slov v gruppakh Artina s drevesnoi strukturoi”, Izvestiya TulGu. Ser. Matematika. Mekhanika. Informatika, 12:1 (2006), 67–82 | MR

[2] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980 | MR

[3] Kurosh A. G., Teoriya grupp, Fizmatlit, M., 2011

[4] Magnus V., Karras A., Soliter D., Kombinatornaya teoriya grupp, Nauka, M., 1974 | MR | Zbl

[5] Romanovskii N. S., “Teorema o svobode dlya grupp s odnim opredelyayuschim sootnosheniem v mnogoobraziyakh razreshimykh i nilpotentnykh grupp dannykh stupenei”, Matematicheskii sbornik, 89 (131):1 (9) (1972), 93–99 | MR

[6] Adyan S. I., Durnev V. G., “Algoritmicheskie problemy dlya grupp i polugrupp”, UMN, 55:2 (332) (2000), 3–94 | DOI | MR | Zbl

[7] Klassen V. P., “Stroenie podgrupp s tozhdestvom v gruppakh s maloi meroi naleganiya opredelyayuschikh slov”, Matem. Zametki, 24:3 (1978), 305–314 | MR

[8] Vankov B. P., “Tozhdestva v gruppakh Grindlingera”, Algoritmicheskie problemy teorii grupp i polugrupp, 1986, 66–71 | MR

[9] Guba V. S., “Ob usloviyakh, pri kotorykh 2-porozhdennye podgruppy v gruppakh s malym sokrascheniem svobodny”, Izvestiya vuzov. Ser. Matematika, 1986, no. 7, 12–19 | MR | Zbl

[10] Arzhantseva G. N., Olshanskii A. Yu., “Obschnost klassa grupp, v kotorykh podgruppy s menshim chislom porozhdayuschikh svobodny”, Matem. zametki, 59:4 (1996), 489–496 | DOI | MR | Zbl

[11] Arzhantseva G. N., “O gruppakh, v kotorykh podgruppy s zadannym chislom porozhdayuschikh svobodny”, Fundament. i prikl. matem., 3:3 (1997), 675–683 | MR | Zbl

[12] Kapovich I., Schup P., “Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion”, Proc. London Math. Soc., 88:1 (2004), 89–113 | DOI | MR | Zbl

[13] Bezverkhnii V. N., “O peresechenii podgrupp v $HNN$-gruppakh”, Fundamentalnaya i prikladnaya matematika, 4:1 (1998), 199–222 | MR

[14] Bezverkhnii V. N., “Reshenie problemy sopryazhennosti podgrupp v odnom klasse $HNN$-grupp”, Algoritmicheskie problemy teorii grupp i polugrupp, Mezhvuzovskii sbornik nauchnykh trudov, 1983, 50–80

[15] Bezverkhnii V. N., “Reshenie problemy vkhozhdeniya podgrupp v klasse $HNN$-grupp”, Algoritmicheskie problemy teorii grupp i polugrupp, Mezhvuzovskii sbornik nauchnykh trudov, 1981, 20–61 | MR