On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups

DOI10.1080/00927870701724409zbMath1176.20044arXivmath/0601482OpenAlexW2048502803MaRDI QIDQ5456526

Sankaran Viswanath

Publication date: 8 April 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601482

zbMATH Keywords

parabolic subgroupsCoxeter groupsgroups of exponential growth

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

Poincaré series of subsets of affine Weyl groups ⋮ Universal Reflection Subgroups and Exponential Growth in Coxeter Groups

Cites Work

• Reflection subgroups of Coxeter systems
• On some generalizations of the Kazhdan-Lusztig polynomials for ``universal Coxeter systems
• A note on subgroups generated by reflections in Coxeter groups
• On the root system of a coxeter group
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