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» Alternating subgroups of Coxeter groups
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JCT
2008
64views more  JCT 2008»
14 years 11 months ago
Alternating subgroups of Coxeter groups
ing subgroups of Coxeter groups (Extended Abstract) Francesco Brenti, Victor Reiner, and Yuval Roichman Abstract. We explore combinatorial consequences of a simple presentation due...
Francesco Brenti, Victor Reiner, Yuval Roichman
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
14 years 10 months ago
Goldberg-Coxeter Construction for 3- and 4-valent Plane Graphs
We consider the Goldberg-Coxeter construction GCk,l(G0) (a generalization of a simplicial subdivision of the dodecahedron considered in [Gold37] and [Cox71]), which produces a pla...
Mathieu Dutour, Michel Deza
APAL
1999
90views more  APAL 1999»
14 years 10 months ago
On Distinguishing Quotients of Symmetric Groups
A study is carried out of the elementary theory of quotients of symmetric groups in a similar spirit to [10]. Apart from the trivial and alternating subgroups, the normal subgroup...
Saharon Shelah, J. K. Truss
ORDER
2002
107views more  ORDER 2002»
14 years 10 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
100
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MOC
2002
113views more  MOC 2002»
14 years 10 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle