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stabilizer subgroup

noun

Definitions

  1. Said of a group acting on a set, and with respect to an element of that set

    Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action leaves that element fixed.

  2. Said of a group acting on a set, and with respect to a subset of that set

    Said of a group acting on a set, and with respect to a subset of that set: the subgroup of the given group for which the image of the set under the group action is a subset of the original set. Some authors instead define this to be the subgroup of the given group whose action leaves each element of the subset fixed.

The neighborhood

Vish — recursive loop

No curated loop yet for stabilizer subgroup. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA