Finite groups with \mathbb P-subnormal primary cyclic subgroups

2011/10/21 by Viktoryia N. Kniahina, V. N. Kniahina, Kniahina, V. N. +3
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1110.4720

openalex publication_date 2011/10/21 · arxiv created 2011/11/18 · arxiv updated 2011/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A subgroup H of a group G is called \mathbb P-subnormal in G whenever either H=G or there is a chain of subgroups H=H₀⊂ H₁⊂ ... ⊂ H_n=G such that |H_i:H_i-1| is a prime for all i. In this paper, we study the groups in which all primary cyclic subgroups are \mathbb P-subnormal.

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