Products of groups and local nearrings
Products of groups and local nearrings
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团体和本地近环的产品
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Y. Sysak
中科院分区：
文献类型：
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作者：
Y. Sysak
可以写成其两个子群的乘积的群，并且已经被许多作者研究过。在此类研究中，具有以下形式的群的特殊作用： 其中 是 和 的正常子群。事实证明，这种形式的群与一些近环，特别是所谓的局部近环之间存在着密切的联系，因此许多有关此类近环的问题可以简化为有关这些群的问题。下面我们将讨论这种联系的不同方面，此外，详细考虑在几乎循环子群 an 的情况下出现的某些结构问题。
Groups which can be written as a product of two of its subgroups and have been studied by many authors. A particular role in such investigations play groups of the form where is a normal subgroup of and . It turns out that there is a close connection between groups of this form and some nearrings, especially so called local nearrings, so that many problems concerning such nearrings can be reduced to questions about these groups. In the following we will discuss different aspects of this connection and, in addition, consider in detail certain structural questions arised in the case of almost cyclic subgroups an .