Results 111 to 120 of about 2,142 (221)
The centralizer of a Coxeter element
, 2022 We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element. © 2022 The Authors.
Wegener, Patrick, Hollenbach, Ruwen
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Coxeter groups are a special class of groups generated by involutions. They play important roles in the various areas of mathematics. This survey particularly focuses on how one uses Coxeter groups to construct interesting examples of discrete subgroups of Lie groups.
Lee, Gye-Seon, Marquis, Ludovic
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Elements with finite Coxeter part in an affine Weyl group
, 2012 Let W-a be an affine Weyl group and eta : W-a -> W-o be the natural projection to the corresponding finite Weyl group. We say that w is an element of W-a has finite Coxeter part if eta(w) is conjugate to a Coxeter element of W-o. The elements with finite
Xuhua He +3 more
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On Minimal Covolume Hyperbolic Lattices
Mathematics, 2017 We study lattices with a non-compact fundamental domain of small volume in hyperbolic space H n . First, we identify the arithmetic lattices in Isom + H n of minimal covolume for even n up to 18.
Ruth Kellerhals
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, 2018 This thesis is a summary of some chapters of James E. Humphreys's,``Reflection Groups and Coxeter Groups" in hope to help readers who are using the book to study Coxeter group. The thesis summarized chapters one, two, four and five of the book.
Timothy, Kevin
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Coxeter groups are virtually special
, 2010 In this paper we prove that every finitely generated Coxeter group has a finite index subgroup that is the fundamental group of a special cube complex. Some consequences include: Every f.g.
Wise, Daniel T. +3 more
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Automorphisms of Right-Angled Coxeter Groups
International Journal of Mathematics and Mathematical Sciences, 2008 If (𝑊,𝑆) is a right-angled Coxeter system, then Aut(𝑊) is a semidirect product of the group Aut∘(𝑊) of symmetric automorphisms by the automorphism group of a certain groupoid. We show that, under mild conditions, Aut∘(𝑊) is a semidirect product of Inn(𝑊)
Mauricio Gutierrez, Anton Kaul
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Cusp Density and Commensurability of Non-arithmetic Hyperbolic Coxeter Orbifolds. [PDF]
Discrete Comput Geom, 2023 Dotti E, Drewitz ST, Kellerhals R.
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The numbers game and coxeter groups
Discrete Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on maximal length elements in conjugacy classes of finite coxeter groups
, 2010 The maximal lengths of elements in each of the conjugacy classes of Coxeter groups of types $B_n$, $D_n$ and $E_6$ are determined.
Rowley, P.J. +2 more
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