Products of groups which contain abelian subgroups of finite index
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http://siba-ese.unile.it/index.php/notemat/article/view/14418
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资源简介：
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups A and B must always have a soluble or even metabelian subgroup of finite index. Here we deal with the special case of this problem when A and B contain abelian subgroups of "small" index, notably of index at most 2. Some recent results on the solubility of such groups are discussed which depend on special calculations involving involutions.
提供机构：
University of Salento
创建时间：
2015-04-22
