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)
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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)

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