학술논문
Small Representations of Permutation Groups by Embedding the Domain in an Ordered Set
Document Type
Working Paper
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Abstract
We present a representation for permutation groups as the automorphism group of an ordered set $U$ such that the automorphism group's action on a subset $T\subseteq U$ is the permutation group itself. For many imprimitive permutation groups, the representation uses fewer points than the smallest representations to date.