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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)

    1. A finitely generated infinite simple group , G. Higman , J. London Math. Soc. / v.26,pp.61-64,
    2. On linear and residual properties of graph products , Tim Hsu;Daniel T. Wise , Michigan Math. J. / v.46,pp.251-259,
    3. Conjugacy separability of certain free products with amalyamation , P. F. Stebe , Trans. Amer. Math. Soc. / v.156,pp.119-129,
    4. Separating conjugates in amalgamated free products and HNN extensions , J. L. Dyer , J. Austral. Math. Soc. Ser. A / v.29,pp.35-51,
    5. Conjugacy separability of certain polygonal products , G. Kim , Canad. Math. Bull. / v.39,pp.294-307,
    6. On the residual finiteness of polygonal products of nilpotent groups , G. Kim;C. Y. Tang , Canad. Math. Bull. / v.35,pp.390-399,
    7. G. Kim;C. Y. Tang , Separability properties of certain tree products of groups / v.,pp.,
    8. On polygonal products of finitely generated abelian groups , G. Kim , Bull. Austral. Math. Soc. / v.45,pp.453-462,
    9. Subgroups of surface groups are almost geometric , P. Scott , J. London Math. Soc. / v.17,pp.555-565,
    10. A course in the theory of groups , D. J. S. Robinson , G. T. M. / v.80,pp.,
    11. On the decidability of some problems in special classes of groups , A. W. Mostowski , Fund. Math. / v.59,pp.123-135,
    12. Conjugacy separability in polycyclic groups , E. Formanek , J. Algebra / v.42,pp.1-10,
    13. Homomorphisms of finite groups , A. I. Mal'cev , Ivanov Gos.Ped. Inst. Ucen. Zap. Uchen. Zap. Karel. Ped. Inst. Ser. Fiz-Mat. Nauk / v.18,pp.49-60,
    14. Graph Products of Groups , E. R. Green , Ph. D. thesis / v.,pp.,
    15. Conjugacy separability of Fuchsion groups and related questions , B. Fine;G. Rosenberger , Contemp. Math., Amer. Math. Soc. / v.109,pp.11-18,
    16. On the residual finiteness of certain polygonal products , R. B. J. T. Allenby;C. Y. Tang , Canad. Math. Bull. / v.32,pp.11-17,
    17. Separability properties of free groups and surface groups , G. A. Niblo , J. Pure Appl. Algebra / v.78,pp.77-84,
    18. Combinatorial Group Theory , W. Magnus;A. Karrass;D. Solitar , Pure and Applied Math. / v.ⅩⅢ,pp.,
    19. On homomorphisms onto finite groups , A. I. Mal'cev , Amer. Math. Soc. Transl. / v.119,pp.67-9,
    20. Coset representations in free groups , M. Hall, Jr. , Trans. Amer. Math. Soc. / v.67,pp.421-432,
  • 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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