Intrinsic reflections in Coxeter systems

Bernhard Mühlherr, Koji Nuida

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Let (W,S) be a Coxeter system and let s∈S. We call s a right-angled generator of (W,S) if st=ts or st has infinite order for each t∈S. We call s an intrinsic reflection of W if s∈RW for all Coxeter generating sets R of W. We give necessary and sufficient conditions for a right-angled generator s∈S of (W,S) to be an intrinsic reflection of W.

Original languageEnglish
Pages (from-to)326-360
Number of pages35
JournalJournal of Combinatorial Theory. Series A
Publication statusPublished - Nov 1 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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