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Journal of the Korean Mathematical Society = 대한수학회지 v.39 no.3, 2002년, pp.461 - 494   피인용횟수: 2

SEPARABILITY PROPERTIES OF CERTAIN POLYGONAL PRODUCTS OF GROUPS

Kim, Goan-Su   (Yeungnam University KyongsanUU0000951  ); Tang, C.Y.   (University of Waterloo  );
• 초록

Let G = E ${\ast}_{A}F$ , 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.

• 주제어

polygonal products .   tree products .   double coset separable .   conjugacy separable .   residually finite.

• 참고문헌 (20)

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• 이 논문을 인용한 문헌 (2)

1. 2008. "" Journal of the Korean Mathematical Society = 대한수학회지, 45(6): 1741~1752
2. 2008. "" Bulletin of the Korean Mathematical Society = 대한수학회보, 45(1): 45~52

저자의 다른 논문

• Kim, Goan-Su (10)

1. 1997 "CONJUGACY SEPARABILITY OF FREE PRODUCTS WITH AMALGAMATION" Communications of the Korean Mathematical Society = 대한수학회논문집 12 (3): 521~530
2. 2000 "CONJUGACY SEPARABILITY OF CERTAIN FREE PRODUCT AMALGAMATING RETRACTS" Bulletin of the Korean Mathematical Society = 대한수학회보 37 (4): 811~827
3. 2004 "ON THE RESIDUAL FINITENESS OF FUNDAMENTAL GROUPS OF GRAPHS OF CERTAIN GROUPS" Journal of the Korean Mathematical Society = 대한수학회지 41 (5): 913~920
4. 2008 "OUTER AUTOMORPHISM GROUPS OF POLYGONAL PRODUCTS OF CERTAIN CONJUGACY SEPARABLE GROUPS" Journal of the Korean Mathematical Society = 대한수학회지 45 (6): 1741~1752
5. 2008 "Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups" Kyungpook mathematical journal 48 (3): 495~502
6. 2010 "CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS" Bulletin of the Korean Mathematical Society = 대한수학회보 47 (6): 1195~1204
7. 2012 "CLASS-PRESERVING AUTOMORPHISMS OF GENERALIZED FREE PRODUCTS AMALGAMATING A CYCLIC NORMAL SUBGROUP" Bulletin of the Korean Mathematical Society = 대한수학회보 49 (5): 949~959
8. 2013 "CONJUGACY SEPARABILITY OF CERTAIN GENERALIZED FREE PRODUCTS OF NILPOTENT GROUPS" Journal of the Korean Mathematical Society = 대한수학회지 50 (4): 813~828
9. 2016 "CLASS-PRESERVING AUTOMORPHISMS OF CERTAIN HNN EXTENSIONS OF BAUMSLAG-SOLITAR GROUPS" Bulletin of the Korean Mathematical Society = 대한수학회보 53 (4): 1033~1041
10. 2016 "ON THE RESIDUAL FINITENESS OF CERTAIN POLYGONAL PRODUCTS OF FREE GROUPS" Communications of the Korean Mathematical Society = 대한수학회논문집 31 (3): 461~466

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