论文标题

限制线性群的亚组

Subgroups of a finitary linear group

论文作者

Bovdi, V. A., Dashkova, O. Yu., Salim, M. A.

论文摘要

令FL_S(k)为统一的关联环k上的学位s的限制线性组。我们证明,FL_S(K)的扭转子组是某些类环K的本地有限的。给出了fl_s(k)的可溶子组。

Let FL_s(K) be the finitary linear group of degree s over an associative ring K with unity. We prove that the torsion subgroups of FL_s(K) are locally finite for certain classes of rings K. A description of some f.g. solvable subgroups of FL_s(K) are given.

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