Results 71 to 80 of about 21,830 (196)
Automorphisms of Coxeter groups [PDF]
Transactions of the American Mathematical Society, 2005 16 pages, no figures. Submitted to Trans. Amer.
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Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
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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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STAR REDUCIBLE COXETER GROUPS [PDF]
Glasgow Mathematical Journal, 2006 Approximately 41 pages, AMSTeX, 4 figures. Revised in light of referee comments.
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On a subgroup of the affine Weyl group C˜4
International Journal of Mathematics and Mathematical Sciences, 2000 We study a subgroup of the affine Weyl group C˜4 and show that this subgroup is a homomorphic image of the triangle group Δ(3,4,4).
Muhammad A. Albar
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On the Topology of the Cambrian Semilattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
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Visual decompositions of Coxeter groups
Groups, Geometry, and Dynamics, 2009 A Coxeter system is an ordered pair (W,S) where S is the generating set in a particular type of presentation for the Coxeter group W. A subgroup of W is called special if it is generated by a subset of S. Amalgamated product decompositions of a Coxeter group having special factors and special amalgamated subgroup are easily recognized from the ...
Mihalik, Michael, Tschantz, Steven
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Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
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Symmetric presentations of Coxeter groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2011 AbstractWe apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of typesAn,DnandEn, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups.
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Combination of open covers with π1$\pi _1$‐constraints
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3886-3901, December 2025.Abstract Let G$G$ be a group and let F$\mathcal {F}$ be a family of subgroups of G$G$. The generalised Lusternik–Schnirelmann category catF(G)$\operatorname{cat}_\mathcal {F}(G)$ is the minimal cardinality of covers of BG$BG$ by open subsets with fundamental group in F$\mathcal {F}$.
Pietro Capovilla, Kevin Li, Clara Löh
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