A Commutator Formula for a Pair of Subgroups and A Theorem of Blackburn
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 217-219
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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 thatTheorem 1. The exponent of Kn+1 (G)/Kn+2 (G) divides the exponent of Kn (G)/Kn+1 (G).
Lam, Tsit-Yuen. A Commutator Formula for a Pair of Subgroups and A Theorem of Blackburn. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 217-219. doi: 10.4153/CMB-1969-025-5
@article{10_4153_CMB_1969_025_5,
author = {Lam, Tsit-Yuen},
title = {A {Commutator} {Formula} for a {Pair} of {Subgroups} and {A} {Theorem} of {Blackburn}},
journal = {Canadian mathematical bulletin},
pages = {217--219},
year = {1969},
volume = {12},
number = {2},
doi = {10.4153/CMB-1969-025-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-025-5/}
}
TY - JOUR AU - Lam, Tsit-Yuen TI - A Commutator Formula for a Pair of Subgroups and A Theorem of Blackburn JO - Canadian mathematical bulletin PY - 1969 SP - 217 EP - 219 VL - 12 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-025-5/ DO - 10.4153/CMB-1969-025-5 ID - 10_4153_CMB_1969_025_5 ER -
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