Cameron-Liebler sets in permutation groups
Consider a group $G$ acting on a set $\Omega$, the vector $v_{a,b}$ is a vector with the entries indexed by the elements of $G$, and the $g$-entry is 1 if $g$ maps $a$ to $b$, and zero otherwise. A $(G,\Omega)$-Cameron-Liebler set is a subset of $G$, whose indicator function is a linear combination...
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| creator | D'haeseleer, Jozefien Meagher, Karen Pantangi, Venkata Raghu Tej |
| description | Consider a group $G$ acting on a set $\Omega$, the vector $v_{a,b}$ is a
vector with the entries indexed by the elements of $G$, and the $g$-entry is 1
if $g$ maps $a$ to $b$, and zero otherwise. A $(G,\Omega)$-Cameron-Liebler set
is a subset of $G$, whose indicator function is a linear combination of
elements in $\{v_{a, b}\ :\ a, b \in \Omega\}$. We investigate Cameron-Liebler
sets in permutation groups, with a focus on constructions of Cameron-Liebler
sets for 2-transitive groups. |
| doi_str_mv | 10.48550/arxiv.2308.08254 |
| format | Article |
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is a subset of $G$, whose indicator function is a linear combination of
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if $g$ maps $a$ to $b$, and zero otherwise. A $(G,\Omega)$-Cameron-Liebler set
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vector with the entries indexed by the elements of $G$, and the $g$-entry is 1
if $g$ maps $a$ to $b$, and zero otherwise. A $(G,\Omega)$-Cameron-Liebler set
is a subset of $G$, whose indicator function is a linear combination of
elements in $\{v_{a, b}\ :\ a, b \in \Omega\}$. We investigate Cameron-Liebler
sets in permutation groups, with a focus on constructions of Cameron-Liebler
sets for 2-transitive groups.</abstract><doi>10.48550/arxiv.2308.08254</doi><oa>free_for_read</oa></addata></record> |
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| title | Cameron-Liebler sets in permutation groups |
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