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A Commutator Formula for a Pair of Subgroups and A Theorem of Blackburn
Published online by Cambridge University Press: 20 November 2018
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Let be the lower central series of a group G, where K2(G) = [G, G] and inductively Kn+1(G) = [Kn (G), G]. A theorem of Blackburn ([1], Hilfssatz) states that
Theorem 1. The exponent of Kn+1 (G)/Kn+2 (G) divides the exponent of Kn (G)/Kn+1 (G).
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- Copyright © Canadian Mathematical Society 1969
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