(Cyclic) subgroup separability of HNN and split extensions

Firat Ateş; A. Sinan Çevik

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 1, page 33-40
  • ISSN: 0232-0525

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Ateş, Firat, and Çevik, A. Sinan. "(Cyclic) subgroup separability of HNN and split extensions." Mathematica Slovaca 57.1 (2007): 33-40. <http://eudml.org/doc/32191>.

@article{Ateş2007,
author = {Ateş, Firat, Çevik, A. Sinan},
journal = {Mathematica Slovaca},
keywords = {cyclic subgroup separability; residually finite groups; HNN extensions; split extensions},
language = {eng},
number = {1},
pages = {33-40},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {(Cyclic) subgroup separability of HNN and split extensions},
url = {http://eudml.org/doc/32191},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Ateş, Firat
AU - Çevik, A. Sinan
TI - (Cyclic) subgroup separability of HNN and split extensions
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 1
SP - 33
EP - 40
LA - eng
KW - cyclic subgroup separability; residually finite groups; HNN extensions; split extensions
UR - http://eudml.org/doc/32191
ER -

References

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  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. (1981) Zbl0469.20017MR0627429
  3. BAUMSLAG B.-TRETKOFF M., Residually finite HNN extensions, Comm. Algebra 6 (1978), 179-194. (1978) Zbl0375.20024MR0484178
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  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. (1984) Zbl0571.20015MR0767102
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  9. JOHNSON D. L., Presentation of Groups, London Math. Soc. Stud. Texts 15, Cambridge University Press, Cambridge, 1990. (1990) MR1056695
  10. KIM G., Cyclic subgroup separability of HNN extensions, Bull. Korean Math. Soc. 30 (1993), 285-293. (1993) Zbl0792.20026MR1239298
  11. LYNDON R. C.-SCHUPP P. E., Combinatorial Group Theory, Classics in Mathematics (Reprint of thе 1977 ed.), Springer-Verlag, Berlin, 2001. (1977) Zbl0368.20023MR1812024
  12. MOSTOWSKI A. W., On the decidability of some problems in special classes of gгoups, Fund. Math. 59 (1966), 123-135. (1966) MR0224693
  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. (1990) MR1051097
  14. ROTMAN J. J., Theory of Groups, (Зrd еd.), Wm. C. Brоwn Publishеrs, Iоwa, 1988. (1988) 
  15. SHIRVANI M., On residually finite HNN extensions, Arch. Math. (Basеl) 44 (1985), 110-115. (1985) Zbl0562.20011MR0780256
  16. SMITH G.-TABACHNIKOVA O., Topics in Group Theory, Springеr Undеrgrad. Math. Ser., Springer-Verlag, Lоndоn, 2000. Zbl0953.20001MR1765294
  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. (1999) Zbl0932.20024MR1687671
  18. WONG P. C., Subgroup separability of certain HNN extensions of finitely generated abelian groups, Rоcky Mоuntain J. Math. 27 (1997), 359-365. (1997) Zbl0901.20015MR1453109

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