DOI QR코드

DOI QR Code

A NEW COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS

  • Kim, Jan (Department of Mathematics Pusan National University) ;
  • Lee, Donghi (Department of Mathematics Pusan National University)
  • Received : 2020.06.19
  • Accepted : 2020.08.17
  • Published : 2020.09.30

Abstract

We prove a new combination theorem for relatively hyperbolic groups by analyzing diagrams over HNN-extensions of relatively hyperbolic groups.

Keywords

References

  1. F. Dahmani, Combination of convergence groups, Geom. and Topol. 7 (2003), 933-963. https://doi.org/10.2140/gt.2003.7.933
  2. R. C. Lyndon and P. E. Schupp, Combinatorial group theory, Springer-Verlag, Berlin, 1977.
  3. D. Osin, Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems, Memoirs Amer. Math. Soc. 179 (2006), no. 843, vi+100 pp.
  4. D. Osin, Relative Dehn funtions of amalgamated products and HNN-extensions, Contemp. Math. 394 (2006), 209-220. https://doi.org/10.1090/conm/394/07446