Geodesic
Approximability of HNN-Extensions with Central Associated Subgroups by a Root Class of Groups
Matematičeskie zametki, Tome 97 (2015) no. 5, pp. 665-669.

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

HNN-extensions of a group with central associated subgroups are considered. Several conditions are obtained for the approximability of such HNN-extensions by a class of groups which have the root property and is closed with respect to factorization.
Keywords: group with root property, HNN-extension, residually $\mathscr K$ group for a class $\mathscr K$ of groups, central subgroup. 
@article{MZM_2015_97_5_a2,
     author = {D. V. Gol'tsov},
     title = {Approximability of {HNN-Extensions} with {Central} {Associated} {Subgroups} by a {Root} {Class} of {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {665--669},
     publisher = {mathdoc},
     volume = {97},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_5_a2/}
}
TY  - JOUR
AU  - D. V. Gol'tsov
TI  - Approximability of HNN-Extensions with Central Associated Subgroups by a Root Class of Groups
JO  - Matematičeskie zametki
PY  - 2015
SP  - 665
EP  - 669
VL  - 97
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2015_97_5_a2/
LA  - ru
ID  - MZM_2015_97_5_a2
ER  - 
%0 Journal Article
%A D. V. Gol'tsov
%T Approximability of HNN-Extensions with Central Associated Subgroups by a Root Class of Groups
%J Matematičeskie zametki
%D 2015
%P 665-669
%V 97
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2015_97_5_a2/
%G ru
%F MZM_2015_97_5_a2
D. V. Gol'tsov. Approximability of HNN-Extensions with Central Associated Subgroups by a Root Class of Groups. Matematičeskie zametki, Tome 97 (2015) no. 5, pp. 665-669. http://geodesic.mathdoc.fr/item/MZM_2015_97_5_a2/

[1] D. I. Moldavanskii, “Approksimiruemost konechnymi $p$-gruppami nekotorykh HNN-rasshirenii grupp”, Vestn. Ivanovsk. gos. un-ta. Ser. “Biologiya, Khimiya, Fizika, Matematika”, 3 (2003), 102–116

[2] E. A. Tumanova, “Approksimiruemost konechnymi $p$-gruppami HNN-rasshirenii grupp”, Vestn. Ivanovsk. gos. un-ta. Ser. “Biologiya, Khimiya, Fizika, Matematika”, 2 (2012), 139–141

[3] D. N. Azarov, E. A. Tumanova, “Ob approksimiruemosti obobschennykh svobodnykh proizvedenii grupp kornevymi klassami”, Nauch. tr. Ivanovsk. gos. un-ta, 6 (2008), 29–42

[4] D. I. Moldavanskii, “Finitnaya approksimiruemost nekotorykh HNN-rasshirenii grupp”, Vestn. Ivanovsk. gos. un-ta. Ser. “Biologiya, Khimiya, Fizika, Matematika”, 3 (2002), 123–133

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

[6] D. N. Azarov, D. Tedzho, “Ob approksimiruemosti svobodnogo proizvedeniya grupp s ob'edinennoi podgruppoi kornevym klassom grupp”, Nauch. tr. Ivanovsk. gos. un-ta, 5 (2002), 6–10

[7] A. Karrass, D. Solitar, “Subgroups of HNN groups and groups with one defining relation”, Canad. J. Math, 23 (1971), 627–643 | DOI | MR | Zbl