论文标题
关于某些局部nilpotent组的结构，而没有相关的亚组
On the structure of some locally nilpotent groups without contranormal subgroups
论文作者
论文摘要
以下J.S.玫瑰，如果g = h^g，则说G组的亚组H在G中被认为是矛盾的。从某种意义上说，偏置的亚组是对亚群亚组的抗植物。众所周知，只有当它没有适当的偏置亚组时，有限群是nilpotent的。我们证明，一个没有适当偏置亚组的尼尔氏束缚组是nilpotent。有适当的偏置亚组的局部nilpotent组。我们研究了具有有限的适当偏置亚组的高中性基团的结构。
Following J.S. Rose, a subgroup H of a group G is said contranormal in G if G = H^G . In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. It is well known that a finite group is nilpotent if and only if it has no proper contranormal subgroups. We prove that a nilpotent-by-finite group with no proper contranormal subgroup is nilpotent. There are locally nilpotent groups with a proper contranormal subgroup. We study the structure of hypercentral groups with a finite proper contranormal subgroup.
