Geodesic
(Cyclic) subgroup separability of HNN and split extensions
Mathematica slovaca, Tome 57 (2007) no. 1, pp. 33-40
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 20E05, 20E06, 20E22, 20E26, 20F10 
@article{MASLO_2007_57_1_a2,
     author = {Ate\c{s}, Firat and \c{C}evik, A. Sinan},
     title = {(Cyclic) subgroup separability of {HNN} and split extensions},
     journal = {Mathematica slovaca},
     pages = {33--40},
     year = {2007},
     volume = {57},
     number = {1},
     mrnumber = {2357805},
     zbl = {1137.20020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2007_57_1_a2/}
}
TY  - JOUR
AU  - Ateş, Firat
AU  - Çevik, A. Sinan
TI  - (Cyclic) subgroup separability of HNN and split extensions
JO  - Mathematica slovaca
PY  - 2007
SP  - 33
EP  - 40
VL  - 57
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_2007_57_1_a2/
LA  - en
ID  - MASLO_2007_57_1_a2
ER  - 
%0 Journal Article
%A Ateş, Firat
%A Çevik, A. Sinan
%T (Cyclic) subgroup separability of HNN and split extensions
%J Mathematica slovaca
%D 2007
%P 33-40
%V 57
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_2007_57_1_a2/
%G en
%F MASLO_2007_57_1_a2
Ateş, Firat; Çevik, A. Sinan. (Cyclic) subgroup separability of HNN and split extensions. Mathematica slovaca, Tome 57 (2007) no. 1, pp. 33-40. http://geodesic.mathdoc.fr/item/MASLO_2007_57_1_a2/

[1] ALLENBY R. B. J. T.-TANG C. Y.: Residual finiteness of certain one-relator groups: extensions of results of Gilbert Baumslag. Math. Proc. Cambridge Philos. Soc. 97 (1985), 225-230. | MR

[2] ALLENBY R. B. J. T.-TANG C. Y.: The residual finiteness of some one-relator groups with torsion. J. Algebra 71 (1981), 132-140. | MR | Zbl

[3] BAUMSLAG B.-TRETKOFF M.: Residually finite HNN extensions. Comm. Algebra 6 (1978), 179-194. | MR | Zbl

[4] BAUMSLAG G.-SOLITAR D.: Some two generator, one relator non-Hopfian groups. Bull. Amer. Math. Soc. 68 (1962), 199-201. | MR | Zbl

[5] BROWN K. S.: Cohomology of Groups. Grad. Texts in Math. 87, Springer-Verlag, New York, 1982. | MR | Zbl

[6] BRUNNER A. M.-BURNS R. G.-SOLITAR D.: The subgroup separability of free products of two free groups with cyclic amalgamation. In: Contributions to Group Theorу (K. I. Appel, J. G. Ratcliffe, P. E. Schupp, eds.) Contemp. Math. 33, Amer. Math. Soc, Providence, RI, 1984, pp. 90-115. | MR | Zbl

[7] HALL M.: Coset representations in free groups. Trans. Amer. Math. Soc. 67 (1949), 421-432. | MR | Zbl

[8] HUEBSCHMANN J.: On the cohomology of the holomorph of a finite cyclic group. Preprint, arXiv:math.GR/0303015 v2, 2003. | MR | Zbl

[9] JOHNSON D. L.: Presentation of Groups. London Math. Soc. Stud. Texts 15, Cambridge University Press, Cambridge, 1990. | MR

[10] KIM G.: Cyclic subgroup separability of HNN extensions. Bull. Korean Math. Soc. 30 (1993), 285-293. | MR | Zbl

[11] LYNDON R. C.-SCHUPP P. E.: Combinatorial Group Theory. Classics in Mathematics (Reprint of thе 1977 ed.), Springer-Verlag, Berlin, 2001. | MR | Zbl

[12] MOSTOWSKI A. W.: On the decidability of some problems in special classes of gгoups. Fund. Math. 59 (1966), 123-135. | MR

[13] NIBLO G. A.: HNN extensions of a free group by Z which are subgroup separable. Prоc Lоndоn Math. Sоc. (3) 61 (1990), 18-32. | MR

[14] ROTMAN J. J.: Theory of Groups. (Зrd еd.), Wm. C. Brоwn Publishеrs, Iоwa, 1988.

[15] SHIRVANI M.: On residually finite HNN extensions. Arch. Math. (Basеl) 44 (1985), 110-115. | MR | Zbl

[16] SMITH G.-TABACHNIKOVA O.: Topics in Group Theory. Springеr Undеrgrad. Math. Ser., Springer-Verlag, Lоndоn, 2000. | MR | Zbl

[17] WONG P. C.-TANG C. K.: Cyclic subgroup separability of certain HNN extensions of finitely generated abelian groups. Rоcky Mоuntain J. Math. 29 (1999), 347-356. | MR | Zbl

[18] WONG P. C.: Subgroup separability of certain HNN extensions of finitely generated abelian groups. Rоcky Mоuntain J. Math. 27 (1997), 359-365. | MR | Zbl