On primitive and inner endomorphisms of groups

DOI10.1134/S0037446620020159zbMath1471.20021OpenAlexW3034458469MaRDI QIDQ2191366

E. I. Timoshenko

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620020159

zbMATH Keywords

variety of groupsfree metabelian groupsprimitive endomorphismprimitive system

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Quasivarieties and varieties of groups (20E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Endomorphisms of free solvable groups preserving primitivity of systems of elements.
• Automorphisms of groups
• IA-automorphism of certain two-generator torsion-free groups
• Inner endomorphisms of Abelian groups
• On endomorphisms of free groups that preserve primitivity
• Algorithmic solvability of the problem of inclusion in a basis of a free metabelian group
• Endomorphisms of free groups that preserve automorphic orbits
• Unsolved Problems in Group Theory. The Kourovka Notebook
• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• Automorphic and endomorphic reducibility and primitive endomorphisms of free metabelian groups
• An Inverse Function Theorem for Free Groups
• Automorphisms of Free Metabelian Groups
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Varieties of groups
• IA automorphisms of free and free metabelian groups

This page was built for publication: On primitive and inner endomorphisms of groups