Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS

  • Zhou, Wei (SCHOOL OF MATHEMATICS AND STATISTICS SOUTHWEST UNIVERSITY) ;
  • Kim, Goan-Su (DEPARTMENT OF MATHEMATICS YEUNGNAM UNIVERSITY) ;
  • Shi, Wujie (DEPARTMENT OF MATHEMATICS AND STATISTICS CHONGQING UNIVERSITY OF ARTS AND SCIENCES) ;
  • Tang, C.Y. (DEPARTMENT OF PURE MATHEMATICS UNIVERSITY OF WATERLOO)
  • Received : 2009.04.09
  • Published : 2010.11.30
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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.

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References

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