摘要
本文得到以下主要结果:(1)G是l群,A,B∈P(G)\{(0)},且A∨B=G或A与B可比较,则A=A_1’,其中A_1是0-群.(2)G是l群,则Γ(G)满足DCC(ACC)当且仅当Γ_m(G)满足DCC(ACC)(3)l群G Bw,则G有基当且仅当∩△Gg=0。(4)若特殊值l群G∈D。
In this paper the main results are as follows: (Ⅰ)let G be an 1-group, A A, B∈P(G)\{ (0) } If AVB=G or A and. B are Comparable, then A=A_1', where A_1 is an O-group. (Ⅱ)let G be an 1-group, then Γ(G)satisfies the DCC(ACC)if and only if Γ_m (G) so does. (Ⅳ)let G∈B_? then G has a basis if ond only if ∩G_δ=0 (Ⅲ)If a special-valued L-group G∈D. then G has e basic {a_λ|λ{∈A} of small elements.
关键词
L群
素子群
基
l-group
prime subgroup
basis
