On one generalization of finite U-critical groups

Semenchuk Vladimir N.; Skiba Alexander N.

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On one generalization of finite U-critical groups

机译：关于有限U临界群的一种推广

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A proper subgroup H of a group G is said to be: P-subnormal in G if there exists a chain of subgroups H = H-0 < H-1 < ... < H-n = G such that vertical bar H-i : Hi-1 vertical bar is a prime for i = 1,..., n; P-abnormal in G if for every two subgroups K <= L of G, where H <= K, vertical bar L : K vertical bar is not a prime. In this paper we describe finite groups in which every non-identity subgroup is either P-subnormal or P-abnormal.

机译：G组的适当子组H可以说是：如果存在一个子组链H = H-0

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《Journal of algebra and its applications》 |2016年第4期|共11页
作者
Semenchuk Vladimir N.; Skiba Alexander N.;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Finite group; U-abnormal subgroup; U-subnormal subgroup; U-critical group; Gaschutz subgroup; Hall subgroup;

机译：有限群;U异常子群;U次正规子群;U临界群;Gaschutz子群;霍尔子群;

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On one generalization of finite U-critical groups

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