lower central series是什么意思(数学里的名词)如题
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lower central series是什么意思(数学里的名词)
如题
降中心列 或者是 下中心群列
lower central series降中心列;下中心群列 Group lower central series 幂零群
The lower central series (or descending central series) of a group G is the descending series of subgroups
G = G1 ⊵ G2 ⊵ ⋯ ⊵ Gn ⊵ ⋯,
where each Gn + 1 = [Gn...
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The lower central series (or descending central series) of a group G is the descending series of subgroups
G = G1 ⊵ G2 ⊵ ⋯ ⊵ Gn ⊵ ⋯,
where each Gn + 1 = [Gn, G], the subgroup of G generated by all commutators [x, y] with x in Gn and y in G. Thus, G2 = [G, G] = G(1), the derived subgroup of G; G3 = [[G, G], G], etc. The lower central series is often denoted γn(G) = Gn.
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降中心列(下部中央的一系列)
lower central series是什么意思(数学里的名词)如题
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