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- W2964025022 abstract "There is a connection between permutation groups and permutation patterns: for any subgroup $G$ of the symmetric group $S_ell$ and for any $n geq ell$, the set of $n$-permutations involving only members of $G$ as $ell$-patterns is a subgroup of $S_n$. Making use of the monotone Galois connection induced by the pattern avoidance relation, we characterize the permutation groups that arise via pattern avoidance as automorphism groups of relations of a certain special form. We also investigate a related monotone Galois connection for permutation groups and describe its closed sets and kernels as automorphism groups of relations." @default.
- W2964025022 created "2019-07-30" @default.
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- W2964025022 date "2017-12-01" @default.
- W2964025022 modified "2023-10-16" @default.
- W2964025022 title "Permutation groups, pattern involvement, and Galois connections" @default.
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- W2964025022 doi "https://doi.org/10.14232/actasm-017-510-4" @default.
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