three subgroups lemma (Q7798010)
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lemma in group theory: given three subgroups X, Y, Z of a group G, if [[X,Y],Z]=[[Y,Z],X]=1, then [[Z,X],Y]=1 (where brackets denote commutators)
- Hall-Witt identity
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | three subgroups lemma |
lemma in group theory: given three subgroups X, Y, Z of a group G, if [[X,Y],Z]=[[Y,Z],X]=1, then [[Z,X],Y]=1 (where brackets denote commutators) |
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Wikipedia(2 entries)
- dewiki Drei-Untergruppen-Lemma
- enwiki Three subgroups lemma