论文标题
小组的外部力量的溢出。水平
Overgroups of exterior powers of an elementary group. Levels
论文作者
论文摘要
我们证明了$ h $的标准描述的第一部分，位于基础组的外部功率之间，$ \ bigwedge^m e_n（r）$和一般线性群体$ gl_ {n \ select m}（r）$ in Commuteative Ring $ r $，$ r $，$ 2 \ in R^*$和$ n \ geqslant $ $。该描述使用一个级别的经典概念：对于每个组$ h $，我们都会找到一个独特的理想$ a $ a $ a $ r $，描述了$ h $。
We prove a first part of the standard description of groups $H$ lying between an exterior power of an elementary group $\bigwedge^m E_n(R)$ and a general linear group $GL_{n \choose m}(R)$ for a commutative ring $R$, $2\in R^*$ and $n\geqslant 3m$. The description uses the classical notion of a level: for every group $H$ we find a unique ideal $A$ of the ground ring $R$ which describes $H$.
