Geodesic
Intersecting families in the alternating group and direct product of symmetric groups
The electronic journal of combinatorics, Tome 14 (2007)
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Let $S_{n}$ denote the symmetric group on $[n]=\{1, \ldots, n\}$. A family $I \subseteq S_{n}$ is intersecting if any two elements of $I$ have at least one common entry. It is known that the only intersecting families of maximal size in $S_{n}$ are the cosets of point stabilizers. We show that, under mild restrictions, analogous results hold for the alternating group and the direct product of symmetric groups.
DOI : 10.37236/943
Classification : 05D05, 20B30, 20D06
Mots-clés : cosets of point stabilizers 
@article{10_37236_943,
     author = {Cheng Yeaw Ku and Tony W. H. Wong},
     title = {Intersecting families in the alternating group and direct product of symmetric groups},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/943},
     zbl = {1111.05093},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/943/}
}
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%A Tony W. H. Wong
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Cheng Yeaw Ku; Tony W. H. Wong. Intersecting families in the alternating group and direct product of symmetric groups. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/943

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