摘要
在本文中,我们构造了l-群簇的列B=B_1■B……■B_n■B_(n+1)■…■B_W。它推广了ConradP.(Symposia math 21(1977)的扭类B,其主要结果如下: (Ⅰ)B_W∩F_V=F B_n∩F_n■B_(n+1)∩F_V (Ⅱ)设m是一个正整数,令B_0=Φ,则G∈(B_m∩F)\(B_(m=1)∩F_V)当且仅当G是O-群的小字典和且此和的厚度为m。
We construct a tower of varieties l-groups B = B_1 ■ B_2 ■ … ■ B^n ■ B_(n+1) ■ … ■ B_mwhich generalizes the torsion class B of conrad P. we discuss some proper-ties of the tower, the main results are as follows: (Ⅰ) B_w ∩ F_v =F B_n ∩ F_v ■ B_(n+1) ∩ F_v (Ⅱ) Let m be a positive interger and B. = φ, then G∈ (B_m ∩ F_v) \ (B_(m-1) ∩F_v) if and only if G is a small Lexice-sum of o-groups and thethickness of the sum is equal to m.
关键词
格序群
扭类
极小素子群
1-群
torsion class
minimal prime subgroup
a lex-sum of l-groups
