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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.
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참고문헌 (15)
참고문헌 신청
A. I. Mal'cev / 1958 / Homomorphisms of finite groups / Ivanov Gos. Ped. Inst. U?en. Zap. Uchen. Zap. Karel. Ped. Inst. Ser. Fiz.-Mat. Nauk 18 : 49 ~ 60
A. I. Mal'cev / 1983 / On homomorphisms onto finite groups / Amer. Math. Soc. Transl. 119 (2) : 67 ~ 79
A. W. Mostowski / 1966 / On the decidability of some problems in special classes of groups / Fund. Math. 59 : 123 ~ 135
B. Fine / 1990 / Conjugacy separability of Fuchsian groups and related ques-tions. in: Combinatorial group theory / Amer. Math. Soc. : 11 ~ 18
E. Formanek / 1976 / Conjugate separability in polycyclic groups / J. Algebra 42 (1) : 1 ~ 10
A. I. Mal'cev / 1983 / On homomorphisms onto finite groups / Amer. Math. Soc. Transl. 119 (2) : 67 ~ 79
A. W. Mostowski / 1966 / On the decidability of some problems in special classes of groups / Fund. Math. 59 : 123 ~ 135
B. Fine / 1990 / Conjugacy separability of Fuchsian groups and related ques-tions. in: Combinatorial group theory / Amer. Math. Soc. : 11 ~ 18
E. Formanek / 1976 / Conjugate separability in polycyclic groups / J. Algebra 42 (1) : 1 ~ 10
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