Polycyclic quasiconformal mapping class subgroups

Katsuhiko Matsuzaki*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


For a subgroup of the quasiconformal mapping class group of a Riemann surface in general, we give an algebraic condition which guarantees its discreteness in the compact-open topology. Then we apply this result to its action on the Teichmüller space.

Original languageEnglish
Pages (from-to)361-374
Number of pages14
JournalPacific Journal of Mathematics
Issue number2
Publication statusPublished - 2011


  • Discrete
  • Polycyclic
  • Quasiconformal mapping class group
  • Teichmüller space

ASJC Scopus subject areas

  • Mathematics(all)


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