COXETER COVERS OF THE CLASSICAL COXETER GROUPS

DOI10.1142/S0218196710006023zbMath1237.20031arXiv0803.3010OpenAlexW2099394153MaRDI QIDQ3067784

Robert Shwartz, Meirav Amram, Mina Teicher

Publication date: 13 January 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3010

zbMATH Keywords

presentationstranspositionssigned permutationssigned graphsaffine Coxeter groupsgeneralized Coxeter groupsclassical Coxeter groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (6)

Signed Hultman numbers and signed generalized commuting probability in finite groups ⋮ Unnamed Item ⋮ QUOTIENTS OF COXETER GROUPS ASSOCIATED TO SIGNED LINE GRAPHS ⋮ Covers of D-type Artin groups ⋮ Weighted Coxeter graphs and generalized geometric representations of Coxeter groups ⋮ Calculating the fundamental group of Galois cover of the (2,3)-embedding of \(\mathbb{CP}^1 \times T\)

Cites Work

• The fundamental group of a \(\mathbb{C}\mathbb{P}^2\) complement of a branch curve as an extension of a solvable group by a symmetric group
• Signed graphs, root lattices, and Coxeter groups
• Lie groups and ergodic theory

This page was built for publication: COXETER COVERS OF THE CLASSICAL COXETER GROUPS