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We give a characterization for fundamental groups of graphs of groups amalgamating cyclic edge subgroups to be cyclic subgroup separable if each pair of edge subgroups has a non-trivial intersection. We show that fundamental groups of graphs of abelian groups amalgamating cyclic edge subgroups are cyclic subgroup separable, hence residually finite, if each edge subgroup is isolated in its containing vertex group.
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참고문헌 (8)
참고문헌 신청
/ 1962 / Some two-generator one-relator non-Hopan groups 38
/ 1973 / Lecture Notes in Math.319
/ 1974 / Cyclic amalgamations of residually nite groups 55
/ 1995 / Conjugacy separability of generalized free products of certain conjugacyseparable groups 38 (1) : 120 ~ 127
/ 1996 / A criterion for the conjugacy separability of amalgamatedfre products of conjugacy separable groups a184 : 1052 ~ 1072
/ 1973 / Lecture Notes in Math.319
/ 1974 / Cyclic amalgamations of residually nite groups 55
/ 1995 / Conjugacy separability of generalized free products of certain conjugacyseparable groups 38 (1) : 120 ~ 127
/ 1996 / A criterion for the conjugacy separability of amalgamatedfre products of conjugacy separable groups a184 : 1052 ~ 1072
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