stabilizer subgroup
stabilizer subgroup · stabilizer subgroups
Said of a group acting on a set, and with respect to an element of that set: the…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.
Meaning
2 sensesSaid 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.
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.
Forms
plural: stabilizer subgroups| Singular | stabilizer subgroup |
|---|---|
| Plural | stabilizer subgroups |
regular
Word family
1 related wordsDerivedorbit-stabilizer theorem