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This article is cited in 2 scientific papers (total in 3 papers)
Mathematical logic, algebra and number theory
Erdös–Ko–Rado properties of some finite groups
M. Jalali-Rad, A. R. Ashrafi Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan, Kashan 87317–53153, I. R. Iran
Abstract:
Let $G$ be a subgroup of the symmetric group $\mathrm{Sym}(n)$ and $A$ be
a subset of $G$. The subset $A$
is said to be intersecting if for any pair of permutations
$\sigma, \tau \in A$ there exists $i, 1 \leq i \leq n,$ such that
$\sigma(i)=\tau(i)$. The group $G$ has Erdös-Ko-Rado
(EKR) property, if the size of any intersecting subset of $G$ is
bounded above by the size of a point stabilizer in $G$. The group
$G$ has the strict EKR property if every intersecting set of
maximum size is the coset of the stabilizer of a point. The aim of this paper is to investigate the EKR and strict EKR properties of the groups $V_{8n}, U_{6n}, T_{4n}$ and $SD_{8n}$.
Keywords:
Erdös-Ko-Rado property, finite group.
Received September 22, 2016, published December 23, 2016
Citation:
M. Jalali-Rad, A. R. Ashrafi, “Erdös–Ko–Rado properties of some finite groups”, Sib. Èlektron. Mat. Izv., 13 (2016), 1249–1257
Linking options:
https://www.mathnet.ru/eng/semr747 https://www.mathnet.ru/eng/semr/v13/p1249
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