ФИНИТНАЯ АППРОКСИМИРУЕМОСТЬ

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Произведения на графах

Shirvani, M. On residually finite graph products.
    J. Pure Appl. Algebra 49, 281-282 (1987).



HNN-расширения

Hsu, Tim; Wise, Daniel T. Ascending HNN extensions of polycyclic groups are residually finite.
    J. Pure Appl. Algebra 182, No.1, 65-78 (2003). [ISSN 0022-4049]

Rhemtulla, A.H.; Shirvani, M. The residual finiteness of ascending HNN-extensions of certain soluble groups.
    Ill. J. Math. 47, No.1-2, 477-484 (2003). [ISSN 0019-2082]

Raptis, E.; Varsos, D. The residual finiteness of HNN-extensions and generalized free products of nilpotent groups: A characterization.
    J. Aust. Math. Soc., Ser. A 53, No.3, 408-420 (1992).

Campbell, Robert I. Notes on the Baumslag-Solitar nonresidually finite examples.
    Proc. Am. Math. Soc. 109, No.1, 59-62 (1990).

Andreadakis, S.; Raptis, E.; Varsos, D. A characterization of residually finite HNN-extensions of finitely generated Abelian groups.
    Arch. Math. 50, No.6, 495-501 (1988).

Andreadakis, S.; Raptis, E.; Varsos, D. Residual finiteness and Hopficity of certain HNN extensions.
    Arch. Math. 47, 1-5 (1986).

Shirvani, M. On residually finite HNN-extensions.
    Arch. Math. 44, 110-115 (1985).

Baumslag, B.; Tretkoff, M. Residually finite HNN-extensions.
    Comm. Algebra. 6, 179-194 (1978).

Cohen, D.E. Residual finiteness and Britton's lemma.
    J. Lond. Math. Soc. 16, 232-234 (1977).



Обобщенные свободные произведения

Liebeck, Martin W.; Shalev, Aner Residual properties of free products of finite groups.
    J. Algebra 268, No.1, 286-289 (2003). [ISSN 0021-8693]

Liebeck, Martin W.; Shalev, Aner Residual properties of the modular group and other free products.
    J. Algebra 268, No.1, 264-285 (2003). [ISSN 0021-8693]

[A] Wise, Daniel T. The residual finiteness of negatively curved polygons of finite groups.
    Invent. Math. 149, No.3, 579-617 (2002). [ISSN 0020-9910; ISSN 1432-1297]

Raptis, E.; Varsos, D. The residual finiteness of HNN-extensions and generalized free products of nilpotent groups: A characterization.
    J. Aust. Math. Soc., Ser. A 53, No.3, 408-420 (1992).

Shirvani, M. A converse to a residual finiteness theorem of G. Baumslag.
    Proc. Am. Math. Soc. 104, No.3, 703-706 (1988).

[A] Tamburins, Heara; Wilson, John. A residual property of certain free products.
    Math. J. 158, No.4, 525–530 (1984).

Wehrfritz, B.A.F. The residual finiteness of some generalised free products.
    J. Lond. Math. Soc., II. Ser. 24, 123-126 (1981).

Zuk, I.K. A note on residual finiteness of generalized free products.
    Dokl. Akad. Nauk BSSR 23, 112-114 (1979).

[A] Tretkoff, Marvin The residual finiteness of certain amalgamated free products.
    Math. Z. No.2, 179–182 (1973).

Boler, James; Evans, Benny. The free product of residually finite groups amalgamated along retracts is residually finite.
    Proc. Amer. Math. Soc. 37, No.1, 50–52 (1973).

Gregorac, R.J. On residually finite generalized free products.
    Proc. Amer. Math. Soc. 24, No.3, 353–355 (1970).

Dyer, Joan Landman On the residual finiteness of generalized free products.
    Trans. Amer. Math. Soc. 133, No.1, 131–143 (1968).

Baumslag, G. On the residual finiteness of generalised free products of nilpotent groups.
    Trans. Amer. Math. Soc. 106, 193-209 (1963).



Древесные и полигональные произведения

[A] Wise, Daniel T. The residual finiteness of negatively curved polygons of finite groups.
    Invent. Math. 149, No.3, 579-617 (2002). [ISSN 0020-9910; ISSN 1432-1297]

[A] Hsu, Tim; Wise, Dani A non-residually finite square of finite groups.
    Campbell, C. M. (ed.) et al., Groups St. Andrews 1997 in Bath. Selected papers of the international conference, Bath, UK, July 26-August 9, 1997. Vol. 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 260, 368-378 (1999). [ISBN 0-521-65588-9/pbk; ISSN 0076-0552]

[A] Kim, Goansu; Tang, C.Y. On the residual finiteness of polygonal products of nilpotent groups.
    Can. Math. Bull. 35, No.3, 390-399 (1992).

[A] Allenby, R.B.J.T.; Tang, C.Y. On the residual finiteness of certain polygonal products.
    Can. Math. Bull. 32, No.1, 11-17 (1989).



Группы с одним определяющим соотношением

Wise, Daniel T. Residual finiteness of quasi-positive one-relator groups.
    J. Lond. Math. Soc., II. Ser. 66, No.2, 334-350 (2002). [ISSN 0024-6107]

Wise, Daniel T. The residual finiteness of positive one-relator groups.
    Comment. Math. Helv. 76, No.2, 314-338 (2001). [ISSN 0010-2571; ISSN 1420-8946]

[A] Rosenberger, G. Faithful linear representations and residual finiteness of some products of cyclics with one relation.
    Sib. Math. J. 32, No.1, 166-168 (1991); translation from Sib. Mat. Zh. 32, No.1(185), 204-206 (1991).

[A] Allenby, R.B.J.T.; Tang, C.Y. The residual finiteness of a class of 1-relator groups.
    Glasg. Math. J. 29, 267-269 (1987).

Baumslag, G. Free subgroups of certain one-relator groups defined by positive words.
    Math. Proc. Camb. Phil. Soc. 93, 247-251 (1983).

[A] Allenby, R.B.J.T.; Tang, C.Y. Residual finite one-relator group with torsion.
    Arch. Math. 37, No.2, 97–105 (1981).

Allenby, R.B.J.T.; Tang, C.Y. The residual finiteness of some one-relator groups with torsion.
    J. Algebra 71, 132-140 (1981).

Brunner, A.M. On a class of one-relator groups.
    Can. J. Math. 32, No.2, 414-420 (1980).

Allenby, R.B.J.T.; Moser, L.E.; Tang, C.Y. The residual finiteness of certain one-relator groups.
    Proc. Amer. Math. Soc. 78, No.1, 8–10 (1980).

Baumslag, B.; Tretkoff, M. Residually finite HNN-extensions.
    Comm. Algebra. 6, 179-194 (1978).

Meskin, Stephen Nonresidually finite one-relator groups.
    Trans. Amer. Math. Soc. 164, Febr, 105–114 (1972).

[A] Baumslag, G. A non-cyclic one-relator group all of whose finite quotients are cyclic.
    J. Austral. Math. Soc. 10, No.3,4, 497–498 (1968).



Свободные и разрешимые группы

[A] Dixon, John D.; Pyber, Laszlo; Seress, Akos; Shalev, Aner Residual properties of free groups and probabilistic methods.
    J. Reine Angew. Math. 556, 159-172 (2003). [ISSN 0075-4102; ISSN 1435-5345]

[A] Kurdachenko, Leonid A.; Otal, Javier FC-groups all of whose factor groups are residually finite.
    Commun. Algebra 31, No.3, 1235-1251 (2003). [ISSN 0092-7872]

[A] Menth, Martin Nilpotent groups with every quotient residually finite.
    J. Group Theory 5, No.2, 199-217 (2002). [ISSN 1433-5883; ISSN 1435-4446]

[A] Liu, Heguo Residually finite properties of soluble groups of finite rank.
    Acta Math. Sin. 43, No.1, 163-166 (2000). [ISSN 0583-1431]

[A] Baumslag, G. A finitely presented solvable group that is not residually finite.
    Math. Z. 133, No.2, 125–127 (1973).



Прочее

Allenby, R.B.J.T.; Kim, Goansu; Tang, C.Y. Residual finiteness of outer automorphism groups of certain pinched 1-relator groups.
    J. Algebra 246, No.2, 849-858 (2001). [ISSN 0021-8693]

[A] Hewitt, P.R. Extensions of residually finite groups.
    J. Algebra 163, No.3, 757-772 (1994).

[A] Маканин, А.Г. О финитной аппроксимируемости уравнений в конечно порожденных нильпотентных группах.
    Вести МГУ. Сер.1. No.1, 48–51 (1992).

Mamuchishvili, A.I. On residual finiteness of wreath products.
    Tr. Gruz. Politekh. Inst. Im. V. I. Lenina 1(222), 75-78 (1980).

Baumslag, Benjamin; Gupta, Narain; Levin, Frank Residual finiteness of cyclic extensions of certain free products.
    Bull. Austral. Math. Soc. 19, 197-203 (1978).

[A] Menal, P. Algunos grupes lineales residualmente finitos. (Некоторые линейные финитно аппроксимируемые группы).
    Actos 4 jornatas mat. faso-es P. Jaea 21. Zaragoza, 1977, 497–498. (Исп.).

Baumslag, Gilbert Finitely generated cyclic extensions of free groups are residually finite.
    Bull. Austral. Math. Soc. 5, No.1, 87–94 (1971).

[A] Ольшанский, А.Ю. Многообразия финитно аппроксимируемых групп.
    Известия АН СССР. Сер. Математика. 33, No.4, 915–927 (1969).

[A] Gregorac, R.J. Residual finiteness of permutational products.
    J. Austral. Math. Soc. 10, No.3–4, 423–428 (1969).




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