three subgroups lemma
(Q7798010)
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)
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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three subgroups lemma
other details
| aliases |
Hall-Witt identity |
| description | 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) |
External Links
| (P646) |
/m/0bbwxc7
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| (P8417) |
Three_subgroup_lemma
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