Finite groups in which some particular subgroups are TI-subgroups

Finite groups in which some particular subgroups are TI-subgroups
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DOI:
10.18514/mmn.2013.785
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发表时间:
2013
影响因子:
0.9
通讯作者:
Jiangtao Shi;Cui Zhang
Jiangtao Shi;Cui Zhang
中科院分区:
数学4区
文献类型:
--
作者:
Jiangtao Shi;Cui Zhang

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。证明了G是一个群,其中所有非循环子群都是TI-子群当且仅当G的所有非循环子群在G中正规。此外,我们还对偶数阶子群都是TI-子群的群进行了分类。
. We prove that G is a group in which all noncyclic subgroups are TI-subgroups if and only if all noncyclic subgroups of G are normal in G . Moreover, we classify groups in which all subgroups of even order are TI-subgroups.