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Intersecting families in classical Coxeter groups
Published online by Cambridge University Press: 28 June 2013
Abstract
Let Ω be a finite set and let G be a permutation group acting on it. A subset H of G is called t-intersecting if any two elements in H agree on at least t points. Let SDn and SBn be the classical Coxeter group of type Dn and type Bn, respectively. We show that the maximum-sized (2t)-intersecting families in SDn and SBn are precisely cosets of stabilizers of t points in [n] ≔ {1, 2, …, n}, provided n is sufficiently large depending on t.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 3 , October 2013 , pp. 887 - 908
- Copyright
- Copyright © Edinburgh Mathematical Society 2013
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