| Title: | On one generalization of finite 𝔘-critical groups |
| Authors: | Semenchuk, V.N. Skiba, A.N. Семенчук, В.Н. Скиба, А.Н. |
| Issue Date: | 2014 |
| Citation: | Semenchuk, V.N. On one generalization of finite 𝔘-critical groups / V.N. Semenchuk, A.N. Skiba // arXiv.org.math.GF. - 2014. - arXiv:1412.5469v1. - P. [1-11]. |
| Abstract: | A proper subgroup H of a group G is said to be: P-subnormal in G if there exists a chain of subgroups H = H0 < H1 < · · · < Hn = G such that |Hi : Hi−1| is a prime for i = 1, . . . , n; P-abnormal in G if for every two subgroups K ≤ L of G, where H ≤ K, |L : K| is not a prime. In this paper we describe finite groups in which every non-identity subgroup is either P-subnormal or P-abnormal. |
| URI: | http://elib.gsu.by/jspui/handle/123456789/17272 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Semenchuk_On_one_generalization.pdf | 154.9 kB | Adobe PDF | View/Open |
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