On the supersoluble residual of mutually permutable products

2016/12/07 by В. С. Монахов, Monakhov, V. S.
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1612.02349

openalex publication_date 2016/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that if a group G=AB is the mutually permutable product of the supersoluble subgroups A and B, then the supersoluble residual of G coincides with the nilpotent residual of the derived subgroup G'.

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