关于具有有限次群的群的结构

IF 0.3 Q4 MATHEMATICS, APPLIED Algebra & Discrete Mathematics Pub Date : 2021-01-01 DOI:10.12958/ADM1724

L. A. Kurdachenko, N. N. Semko

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引用次数: 0

摘要

继J.S. Rose之后，如果G=HG，则称G群中的一个子群H在G中是异位的。在一定意义上，异正规子群是亚正规子群的对映体。研究了具有有限固有异形p-子群的阿贝尔幂零群的结构。

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On the structure of some groups having finite contranormal subgroups

Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G=HG. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup.

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