Rationality and reciprocity for the greedy normal form of a Coxeter group

DOI10.1090/S0002-9947-2010-05093-7zbMath1222.20028arXiv0809.2251OpenAlexW2010905002MaRDI QIDQ3082361

Richard Scott

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2251

zbMATH Keywords

simplicial complexeslength functionsright-angled Coxeter groupscharacteristic seriesfinite parabolic subgroupsgreedy normal formsnerves of Coxeter groups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (1)

Eulerian cube complexes and reciprocity

Cites Work

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• Combinatorics of Coxeter Groups
• On the definition of a family of automata
• Endomorphisms of linear algebraic groups

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