JOURNAL BROWSE
Search
Advanced SearchSearch Tips
SEPARABILITY PROPERTIES OF CERTAIN POLYGONAL PRODUCTS OF GROUPS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
SEPARABILITY PROPERTIES OF CERTAIN POLYGONAL PRODUCTS OF GROUPS
Kim, Goan-Su; Tang, C.Y.;
  PDF(new window)
 Abstract
Let G = E, where A is a finitely generated abelian subgroup. We prove a criterion for G to be {A}-double coset separable. Applying this result, we show that polygonal products of central subgroup separable groups, amalgamating trivial intersecting central subgroups, are double coset separable relative to certain central subgroups of their vertex groups. Finally we show that such polygonal products are conjugacy separable. It follows that polygonal products of polycyclic-by-finite groups, amalgamating trivial intersecting central subgroups, are conjugacy separable.
 Keywords
polygonal products;tree products;double coset separable;conjugacy separable;residually finite;
 Language
English
 Cited by
1.
OUTER AUTOMORPHISM GROUPS OF CERTAIN POLYGONAL PRODUCTS OF GROUPS,;

대한수학회보, 2008. vol.45. 1, pp.45-52 crossref(new window)
2.
OUTER AUTOMORPHISM GROUPS OF POLYGONAL PRODUCTS OF CERTAIN CONJUGACY SEPARABLE GROUPS,;;

대한수학회지, 2008. vol.45. 6, pp.1741-1752 crossref(new window)
 References
1.
Canad. Math. Bull., 1989. vol.32. 1, pp.11-17

2.
J. Austral. Math. Soc. Ser. A, 1980. vol.29. 1, pp.35-51 crossref(new window)

3.
Contemp. Math., Amer. Math. Soc., 1990. vol.109. pp.11-18

4.
J. Algebra, 1976. vol.42. pp.1-10 crossref(new window)

5.
Ph. D. thesis, 1990.

6.
Trans. Amer. Math. Soc., 1949. vol.67. pp.421-432 crossref(new window)

7.
J. London Math. Soc., 1951. vol.26. pp.61-64 crossref(new window)

8.
Michigan Math. J., 1999. vol.46. pp.251-259 crossref(new window)

9.
Bull. Austral. Math. Soc., 1992. vol.45. 3, pp.453-462 crossref(new window)

10.
Canad. Math. Bull., 1996. vol.39. 3, pp.294-307

11.
Separability properties of certain tree products of groups, 0000.

12.
Canad. Math. Bull., 1992. vol.35. 3, pp.390-399

13.
Pure and Applied Math., 1966. vol.ⅩⅢ.

14.
Amer. Math. Soc. Transl., 1983. vol.119. 2, pp.67-9

15.
Ivanov Gos.Ped. Inst. Ucen. Zap. Uchen. Zap. Karel. Ped. Inst. Ser. Fiz-Mat. Nauk, 1958. vol.18. pp.49-60

16.
Fund. Math., 0000. vol.59. pp.123-135

17.
J. Pure Appl. Algebra, 1992. vol.78. pp.77-84 crossref(new window)

18.
G. T. M., 1982. vol.80.

19.
J. London Math. Soc., 1978. vol.17. pp.555-565 crossref(new window)

20.
Trans. Amer. Math. Soc., 1971. vol.156. pp.119-129 crossref(new window)