Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A RELATIONSHIP BETWEEN VERTICES AND QUASI-ISOMORPHISMS FOR A CLASS OF BRACKET GROUPS

  • Yom, Peter Dong-Jun (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE BRONX COMMUNITY COLLEGE OF CUNY)
  • Published : 2007.11.30
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Abstract

In this article, we characterize the quasi-isomorphism classes of bracket groups in terms of vertices using vertex-switches. In particular, if two bracket groups are quasi-isomorphic, then there is a sequence of vertex-switches transforming a collection of vertices of a group to a collection of vertices of the other group.

Keywords

References

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Cited by

  1. ON QUASI-REPRESENTING GRAPHS FOR A CLASS OF B(1)-GROUPS vol.49, pp.3, 2012, https://doi.org/10.4134/JKMS.2012.49.3.493