Title: | Finite groups with all 2-maximal subgroups K-ℙ-subnormal |
Authors: | Kovaleva, V.A. |
Keywords: | 2-maximal subgroup strictly 2-maximal subgroup soluble group supersoluble group minimal nonsupersoluble group K-ℙ-subnormal subgroup |
Issue Date: | 2013 |
Citation: | Kovaleva, V.A. Finite groups with all 2-maximal subgroups K-ℙ-subnormal / V.A. Kovaleva // Mathematical Sciences Research Journal. - 2013. - Vol.17, № 6. - P. 150-155. |
Abstract: | A subgroup H of a group G is said to be K-ℙ-subnormal in G (A.N. Skiba) if there exists a chain of subgroups H = H₀ ≤ H₁ ≤ ... ≤ Hn = G such that either Hi-₁ is normal in Hi or | Hi : Hi-₁ | is a prime, for i = 1, ..., n. In this paper we describe finite groups in which every 2-maximal subgroup is K-ℙ-subnormal. |
URI: | http://elib.gsu.by/handle/123456789/7614 |
Appears in Collections: | Статьи |
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File | Description | Size | Format | |
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1_Viktoria_Finite20Groups_150-155-страницы-2-7.pdf | 566.39 kB | Adobe PDF | View/Open |
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