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ON THE RESIDUAL FINITENESS OF CERTAIN POLYGONAL PRODUCTS OF FREE GROUPS
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 Title & Authors
ON THE RESIDUAL FINITENESS OF CERTAIN POLYGONAL PRODUCTS OF FREE GROUPS
Kim, Goansu;
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 Abstract
In general, polygonal products of free groups are not residually finite. Using the residual finiteness of polygonal products of nilpotent groups, we show that certain polygonal products of free groups are residually finite.
 Keywords
polygonal products of groups;free groups;residually finite;
 Language
English
 Cited by
 References
1.
R. B. J. T. Allenby, The residual finiteness of polygonal products - Two counterexamples, Canad. Math. Bull. 37 (1994), no. 4, 433-436. crossref(new window)

2.
R. B. J. T. Allenby, Polygonal products of polycyclic by finite groups, Bull. Austral. Math. Soc. 54 (1996), no. 3, 369-372. crossref(new window)

3.
R. B. J. T. Allenby and C. Y. Tang, On the residual finiteness of certain polygonal products, Canad. Math. Bull. 32 (1989), no. 1, 11-17. crossref(new window)

4.
A. Karrass, A. Pietrowski and D. Solitar, The subgroups of polygonal products of groups, unpublished manuscript.

5.
G. Kim, On polygonal products of finitely generated abelian groups, Bull. Austral. Math. Soc. 45 (1992), no. 3, 453-462. crossref(new window)

6.
G. Kim, Cyclic subgroup separability of generalized free products, Canad. Math. Bull. 36 (1993), no. 3, 296-302. crossref(new window)

7.
G. Kim, Conjugacy separability of certain polygonal products, Canad. Math. Bull. 39 (1996), no. 3, 294-307. crossref(new window)

8.
G. Kim and C. Y. Tang, On the residual finiteness of polygonal products of nilpotent groups, Canad. Math. Bull. 35 (1992), no. 3, 390-399. crossref(new window)

9.
W. Magnus, Beziehungen zwischen Gruppen und Idealen in einem speziellen ring, Math. Ann. 111 (1935), 259-280. crossref(new window)

10.
W. Magnus, Residually finite groups, Bull. Amer. Math. Soc. 75 (1969), 305-316. crossref(new window)

11.
A. W. Mostowski, On the decidability of some problems in special classes of groups, Fund. Math. 59 (1966), 123-135.

12.
D. J. S. Robinson, A course in the theory of groups, G. T. M. 80. Springer-Verlag, New York-Heidelberg-Berlin, 1982.

13.
J. S. Rose, A Course on Group Theory, Dover Publ., New York, 1994.