非正规子群有非平凡交的局部有限群

LOCALLY FINITE GROUPS WHOSE NONNORMAL SUBGROUPS HAVE NONTRIVIAL INTERSECTIONS

  • 摘要: 设G是一个群,令R(G)表示G中一切非正规子群的交。R(G)≠1的局部有限P-群的结构被刻划了,这个结果推广了Blackburn的一个定理。

     

    Abstract: The structure of locally finite P - groups in which the nonnormal subgroups have nontrivial intersections is obtained .This result generalize a theorem of Blackburn.

     

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