On K-ℙ_t-subnormal subgroups of finite groups and related formations

2024/05/19 by A. F. VASIL'EV, Vasil'ev, A. F., Т. И. Васильева +1
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2405.11652

openalex publication_date 2024/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let t be a fixed natural number. A subgroup H of a group G will be called K-ℙ_t-subnormal in G if there exists a chain of subgroups H = H₀ ≤ H₁ ≤ ⋯ ≤ H_m-1 ≤ H_m = G such that either H_i-1 is normal in H_i or |H_i : H_i-1| is a some prime p and p-1 is not divisible by the (t+1)th powers of primes for every i = 1,… , n. In this work, properties of K-ℙ_t-subnormal subgroups and classes of groups with Sylow K-ℙ_t-subnormal subgroups are obtained.

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