| Title:
|
(Cyclic) subgroup separability of HNN and split extensions (English) |
| Author:
|
Ateş, Firat |
| Author:
|
Çevik, A. Sinan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
33-40 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20E05 |
| MSC:
|
20E06 |
| MSC:
|
20E22 |
| MSC:
|
20E26 |
| MSC:
|
20F10 |
| idZBL:
|
Zbl 1137.20020 |
| idMR:
|
MR2357805 |
| . |
| Date available:
|
2009-09-25T14:36:05Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131777 |
| . |
| Reference:
|
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| Reference:
|
[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. Zbl 0469.20017, MR 0627429 |
| Reference:
|
[3] BAUMSLAG B.-TRETKOFF M.: Residually finite HNN extensions.Comm. Algebra 6 (1978), 179-194. Zbl 0375.20024, MR 0484178 |
| Reference:
|
[4] BAUMSLAG G.-SOLITAR D.: Some two generator, one relator non-Hopfian groups.Bull. Amer. Math. Soc. 68 (1962), 199-201. Zbl 0108.02702, MR 0142635 |
| Reference:
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[5] BROWN K. S.: Cohomology of Groups.Grad. Texts in Math. 87, Springer-Verlag, New York, 1982. Zbl 0584.20036, MR 0672956 |
| Reference:
|
[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. Zbl 0571.20015, MR 0767102 |
| Reference:
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[7] HALL M.: Coset representations in free groups.Trans. Amer. Math. Soc. 67 (1949), 421-432. Zbl 0035.01301, MR 0032642 |
| Reference:
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[8] HUEBSCHMANN J.: On the cohomology of the holomorph of a finite cyclic group.Preprint, arXiv:math.GR/0303015 v2, 2003. Zbl 1072.20062, MR 2078387 |
| Reference:
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[9] JOHNSON D. L.: Presentation of Groups.London Math. Soc. Stud. Texts 15, Cambridge University Press, Cambridge, 1990. MR 1056695 |
| Reference:
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[10] KIM G.: Cyclic subgroup separability of HNN extensions.Bull. Korean Math. Soc. 30 (1993), 285-293. Zbl 0792.20026, MR 1239298 |
| Reference:
|
[11] LYNDON R. C.-SCHUPP P. E.: Combinatorial Group Theory.Classics in Mathematics (Reprint of thе 1977 ed.), Springer-Verlag, Berlin, 2001. Zbl 0368.20023, MR 1812024 |
| Reference:
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[12] MOSTOWSKI A. W.: On the decidability of some problems in special classes of gгoups.Fund. Math. 59 (1966), 123-135. MR 0224693 |
| Reference:
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[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 1051097 |
| Reference:
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[14] ROTMAN J. J.: Theory of Groups.(Зrd еd.), Wm. C. Brоwn Publishеrs, Iоwa, 1988. |
| Reference:
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[15] SHIRVANI M.: On residually finite HNN extensions.Arch. Math. (Basеl) 44 (1985), 110-115. Zbl 0562.20011, MR 0780256 |
| Reference:
|
[16] SMITH G.-TABACHNIKOVA O.: Topics in Group Theory.Springеr Undеrgrad. Math. Ser., Springer-Verlag, Lоndоn, 2000. Zbl 0953.20001, MR 1765294 |
| Reference:
|
[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. Zbl 0932.20024, MR 1687671 |
| Reference:
|
[18] WONG P. C.: Subgroup separability of certain HNN extensions of finitely generated abelian groups.Rоcky Mоuntain J. Math. 27 (1997), 359-365. Zbl 0901.20015, MR 1453109 |
| . |
