Results 71 to 80 of about 21,101 (195)
Combination theorems for Wise's power alternative
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
wiley +1 more source
Linearized Coxeter higher-spin theories
A class of higher-spin gauge theories on AdS 4 associated with various Coxeter groups C $$ \mathcal{C} $$ is analyzed at the linear order. For a general C $$ \mathcal{C} $$ , a solution corresponding to the AdS 4 space and the form of the free unfolded ...
A. A. Tarusov +2 more
doaj +1 more source
On Minimal Covolume Hyperbolic Lattices
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
doaj +1 more source
On the Topology of the Cambrian Semilattices [PDF]
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
doaj +1 more source
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
openaire +2 more sources
STAR REDUCIBLE COXETER GROUPS [PDF]
Approximately 41 pages, AMSTeX, 4 figures. Revised in light of referee comments.
openaire +2 more sources
Brain Morphology in Extraordinary Geometrician Harold Coxeter: implications for connectivity
Abstract Background While extensive research has examined brain‐behavior relationships in cognitive decline, far less study of the other extreme has been done with super‐agers or those with extraordinary abilities. Harold Coxeter (HC), an extraordinary geometrician (Figure 1), considered one of the foremost mathematical minds of the 20th century ...
Christopher JM Scott +7 more
wiley +1 more source
Logspace Computations in Coxeter Groups and Graph Groups
Computing normal forms in groups (or monoids) is in general harder than solving the word problem (equality testing). However, normal form computation has a much wider range of applications.
Diekert, Volker +2 more
core +1 more source
Visual decompositions of Coxeter groups
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
openaire +3 more sources
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
wiley +1 more source

