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JCT
2008
64views more  JCT 2008»
13 years 4 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»
13 years 4 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»
13 years 4 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»
13 years 4 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
MOC
2002
113views more  MOC 2002»
13 years 4 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