Intersection density of transitive groups of certain degrees

نویسندگان

چکیده

Two elements $g$ and $h$ of a permutation group $G$ acting on set $V$ are said to be intersecting if $g(v) = h(v)$ for some $v \in V$. More generally, subset ${\cal F}$ is an every pair intersecting. The intersection density $\rho(G)$ transitive the maximum value quotient $|{\cal F}|/|G_v|$ where runs over all sets in $G_v$ stabilizer $v\in In this paper groups degree twice prime determined, proved either $1$ or $2$. addition, it that power $1$.

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ژورنال

عنوان ژورنال: Algebraic combinatorics

سال: 2022

ISSN: ['2589-5486']

DOI: https://doi.org/10.5802/alco.209