Phrase guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
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.
Definition source: English Wiktionary via Wiktextract
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
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.
Definition source: English Wiktionary via Wiktextract
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
No etymology was provided for this word.
