Некоторые аппроксимационные свойства обобщенных свободных произведений групп

E. V. Sokolov

Čebyševskij sbornik, Tome 13 (2012) no. 1, pp. 143-149.

Bibliographie

[1] Hall P., “The splitting properties of relatively free groups”, Proc. Lond. Math. Soc., 4 (1954), 343–356 | DOI | MR | Zbl

[2] Baumslag G., “On the residual finiteness of generalized free products of nilpotent groups”, Trans. Amer. Math. Soc., 106 (1963), 193–209 | DOI | MR | Zbl

[3] Higman G., “Amalgams of $p$-groups”, J. Algebra, 1 (1964), 301–305 | DOI | MR | Zbl

[4] Loginova E. D., “Finitnaya approksimiruemost svobodnogo proizvedeniya dvukh grupp s kommutiruyuschimi podgruppami”, Sib. matem. zh., 40:2 (1999), 395–407 | MR | Zbl

[5] Kim G., Lee Y., McCarron J., “Residual $p$-finiteness of certain generalized free products of nilpotent groups”, KYUNGPOOK Math. J., 48 (2008), 495–502 | DOI | MR | Zbl

[6] Moldavanskii D. I., Koprova A. E., “Ob approksimiruemosti konechnymi gruppami obobschennykh svobodnykh proizvedenii grupp”, Nauch. tr. IvGU. Matematika, 2008, no. 6, 59–70

[7] Tumanova E. A., “Ob approksimiruemosti konechnymi gruppami obobschennykh svobodnykh proizvedenii grupp”, Chebyshevskii sbornik, 12:1(41) (2012), 150–152

[8] Azarov D. N., Finitnaya approksimiruemost i drugie approksimatsionnye svoistva svobodnykh proizvedenii grupp s odnoi ob'edinennoi podgruppoi, Dep. v VINITI 28.04.99 No 1371-B99, Ivanov. gos. un-t, Ivanovo, 1999, 55 pp. (rus.)

[9] Azarov D. N., Approksimiruemost svobodnogo proizvedeniya grupp s odnoi ob'edinennoi podgruppoi nekotorymi klassami konechnykh grupp, Dissertatsiya $\ldots$ kand. fiz.-mat. nauk, Ivanovo, 2000 | Zbl

[10] Azarov D. N., “O nilpotentnoi approksimiruemosti svobodnykh proizvedenii svobodnykh grupp s tsiklicheskim ob'edineniem”, Mat. zametki, 64:1 (1998), 3–8 | MR | Zbl

[11] Kim G., Tang C. Y., “On generalized free products of residually finite $p$-groups”, J. Algebra, 201 (1998), 317–327 | DOI | MR | Zbl

[12] Gruenberg K. W., “Residual properties of infinite soluble groups”, Proc. London Math. Soc. Ser. 3, 7 (1957), 29–62 | DOI | MR | Zbl

[13] Gudovschikova A. S., Sokolov E. V., “Nekotorye approksimatsionnye svoistva obobschennykh svobodnykh proizvedenii dvukh grupp”, Vestnik IvGU. Ser. Estestvennye, obschestvennye nauki, 2012, no. 2, 115–123

[14] Azarov D. N., Tumanova E. A., “Ob approksimiruemosti obobschennykh svobodnykh proizvedenii grupp kornevymi klassami”, Nauch. tr. IvGU. Matematika, 2008, no. 6, 29–42

[15] Kahrobaei D., Majewicz S., “On the residual solvability of generalized free products of solvable groups”, DMTCS, 13:4 (2012), 45–50 | MR

[16] Kahrobaei D., “On the residual solvability of generalized free products of finitely generated nilpotent groups”, Commun. Algebra, 39:2 (2011), 647–656 | DOI | MR | Zbl

[17] Kahrobaei D., Doubles of residually solvable groups. Aspects of Infinite Group Theory, Algebra and Discrete Mathematics, v. 1, World Scientific, 2008 | MR | Zbl

[18] Ivanova E. A., “Ob approksimiruemosti nilpotentnymi gruppami svobodnogo proizvedeniya s ob'edinennoi podgruppoi dvukh abelevykh grupp”, Chebyshevskii sbornik, 3:1 (2002), 72–77 | MR | Zbl

[19] Ivanova E. A., O nilpotentnoi approksimiruemosti obobschennykh svobodnykh proizvedenii grupp, Dissertatsiya $\ldots$ kand. fiz.-mat. nauk, Ivanovo, 2004

[20] Ivanova E. A., “Approksimiruemost nilpotentnymi gruppami svobodnogo proizvedeniya dvukh grupp s ob'edinennymi konechnymi podgruppami”, Vestnik IvGU. Ser. Biologiya, Khimiya, Fizika, Matematika, 2004, no. 3, 120–125 | MR

[21] Maltsev A. I., “O gomomorfizmakh na konechnye gruppy”, Uchen. zap. Ivan. gos. ped. in-ta, 18 (1958), 49–60

[22] Sokolov E. V., Ob otdelimosti podgrupp v nekotorykh klassakh konechnykh grupp, Dep. v VINITI 22.07.2003 No 1433-V2003, Ivanov. gos. un-t, Ivanovo, 2003, 90 pp., Bibliogr. 49 nazv. (rus.)

[23] Sokolov E. V., Otdelimost podgrupp nekotorymi klassami konechnykh grupp, LAP Lambert Academic Publishing, 2012, 124 pp.