논문KCI 등재
CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS
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초록
In this paper, we prove a criterion of conjugacy separability of generalized free products of polycyclic-by-finite groups with a non-cyclic amalgamated subgroup. Applying this criterion,we prove that certain generalized free products of polycyclic-by-finite groups are conjugacy separable.
Abstract
In this paper, we prove a criterion of conjugacy separability of generalized free products of polycyclic-by-finite groups with a non-cyclic amalgamated subgroup. Applying this criterion,we prove that certain generalized free products of polycyclic-by-finite groups are conjugacy separable.
참고문헌 (15)
- R. B. J. T. Allenby, "Conjugacy separability of certain Seifert 3-manifold groups", J. Algebra, 285(2), pp.481~507 (2005)
- G. Baumslag, "A non-Hopfian group", Bull. Amer. Math. Soc., 68, pp.196~198 (1962)
- G. Baumslag, "On the residual finiteness of generalised free products of nilpotent groups", Trans. Amer. Math. Soc., 106, pp.193~209 (1963)
- N. Blackburn, "Conjugacy in nilpotent groups", Proc. Amer. Math. Soc., 16, pp.143~148 (1965)
- J. L. Dyer, "Separating conjugates in amalgamated free products and HNN extensions", J. Austral. Math. Soc. Ser. A, 29(1), pp.35~51 (1980)
- B. Fine, "Conjugacy separability of Fuchsian groups and related ques-tions. in: Combinatorial group theory", pp.11~18 (1990), Amer. Math. Soc.
- E. Formanek, "Conjugate separability in polycyclic groups", J. Algebra, 42(1), pp.1~10 (1976)
- G. Kim, "Separability properties of certain tree products of groups", J. Algebra, 251(1), pp.323~349 (2002)
- W. Magnus, "Combinatorial Group Theory" (1966), Wiley-Inter-science
- A. I. Mal'cev, "On homomorphisms onto finite groups", Amer. Math. Soc. Transl., 119(2), pp.67~79 (1983)
- A. I. Mal'cev, "Homomorphisms of finite groups", Ivanov Gos. Ped. Inst. Učen. Zap. Uchen. Zap. Karel. Ped. Inst. Ser. Fiz.-Mat. Nauk, 18, pp.49~60 (1958)
- A. W. Mostowski, "On the decidability of some problems in special classes of groups", Fund. Math., 59, pp.123~135 (1966)
- G. A. Niblo, "Separability properties of free groups and surface groups", J. Pure Appl. Algebra, 78(1), pp.77~84 (1992)
- L. Ribes, "Conjugacy separability and free products of groups with cyclic amalgamation", J. London Math. Soc., 57(3), pp.609~628 (1998)
- P. Scott, "Subgroups of surface groups are almost geometric", J. London Math. Soc., 17(3), pp.555~565 (1978)
관련 논문AI추천
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