Name
Abstract | ||
|---|---|---|
Let Ω be a finite set and G a permutation group acting on it. A subset H of G is called t-set-intersecting if for any two elements σ,π∈H, there exists a t-set T⊂Ω such that σ(T)=π(T). Let SnD and SnB be the classical Coxeter group of type Dn and type Bn respectively. We show that the maximum-sized t-set-intersecting families in SnD and SnB are precisely cosets of stabilizers of t-set of [n] provided n is sufficiently large depending on t. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.disc.2018.12.014 | Discrete Mathematics |
Keywords | Field | DocType |
t-set intersecting,Classical Coxeter groups,Representations of finite groups | Discrete mathematics,Combinatorics,Finite set,Permutation group,Coset,Mathematics,Coxeter group | Journal |
Volume | Issue | ISSN |
342 | 4 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
1 | ||