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首页> 外文期刊>Algebra and logic >Infinite-dimensional linear groups with restrictions on subgroups that are not soluble A 3-groups
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Infinite-dimensional linear groups with restrictions on subgroups that are not soluble A 3-groups

机译：无限维线性基团，对不可溶的A 3基团具有限制

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摘要

We are concerned with infinite-dimensional locally soluble linear groups of infinite central dimension that are not soluble A3-groups and all of whose proper subgroups, which are not soluble A3-groups, have finite central dimension. The structure of groups in this class is described. The case of infinite-dimensional locally nilpotent linear groups satisfying the specified conditions is treated separately. A similar problem is solved for infinite-dimensional locally soluble linear groups of infinite fundamental dimension that are not soluble A3-groups and all of whose proper subgroups, which are not soluble A3-groups, have finite fundamental dimension.
机译：我们关注的是不是可溶的A3-组的无限维的局部无限大小的局部可溶线性基团，并且所有非可溶A3-组的适当子组都具有有限的中心维数。描述了此类中的组的结构。满足指定条件的无限维局部幂等线性组的情况将单独处理。对于非基本尺寸的无限维局部可溶线性基团也解决了类似的问题，这些线性基团不是可溶的A3基团，并且所有其非可溶的A3基团的适当子组都具有有限的基本维数。

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