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math.GR2022★ 1 cited
Large totally symmetric sets
Noah Caplinger
A totally symmetric set is a subset of a group such that every permutation of the subset can be realized by conjugation in the group. The (non-)existence of large totally symmetric…
math.GR2022
Totally symmetric sets in the general linear group
Noah Caplinger, Nick Salter
A totally symmetric set is a finite subset of a group for which any permutation of the elements can be realized by conjugation in the ambient group. Such sets are rigid under homom…