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The Erdős-Ko-Rado Property for Some 2-Transitive Groups.
- Source :
-
Annals of Combinatorics . Dec2015, Vol. 19 Issue 4, p621-640. 20p. - Publication Year :
- 2015
-
Abstract
- A subset S of a group G ≤ Sym( n) is intersecting if for any pair of permutations $${\pi, \sigma \in S}$$ there is an $${i \in {1, 2, . . . , n}}$$ such that $${\pi (i) = \sigma (i)}$$ . It has been shown, using an algebraic approach, that the largest intersecting sets in each of Sym( n), Alt( n), and PGL(2, q) are exactly the cosets of the point-stabilizers. In this paper, we show how this approach can be applied more generally to many 2-transitive groups. We then apply this method to the Mathieu groups and to all 2-transitive groups with degree no more than 20. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02180006
- Volume :
- 19
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Annals of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 110482691
- Full Text :
- https://doi.org/10.1007/s00026-015-0285-6