Coxeter covers of the symmetric groups

DOI10.1515/jgth.2005.8.2.139zbMath1120.20040arXivmath/0405185OpenAlexW2077274316MaRDI QIDQ4669775

Uzi Vishne, Mina Teicher, Louis Halle Rowen

Publication date: 15 April 2005

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405185

zbMATH Keywords

Coxeter groupsfree subgroupsvirtually Abelian groupssets of transpositionsdirect products of free groupspresentations of symmetric groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30)

Related Items (10)

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 ⋮ Fundamental group of Galois covers of degree 6 surfaces ⋮ Fundamental groups of Galois closures of generic projections ⋮ Calculating the fundamental group of Galois cover of the (2,3)-embedding of \(\mathbb{CP}^1 \times T\) ⋮ Degenerations and fundamental groups related to some special toric varieties ⋮ The Coxeter Quotient of the Fundamental Group of a Galois Cover of 𝕋 × 𝕋 ⋮ The fundamental group of a Galois cover of \(\mathbb{C} \mathbb{P}^1 \times T\)

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