Automorphisms of groups
Copyright policy )Automorphisms of groups
This is a survey article. The main sections are as follows: Automorphisms of free groups, including Gersten's Theorem and related results. The influence on a group of restricting its automorphism group. Automorphisms of soluble groups, including automorphisms of nilpotent and polycyclic groups and work related to that of Bachmuth and Mochizuki on automorphisms of relatively free metabelian groups. Complete automorphism groups. Presentations of automorphism groups by matrices. Automorphisms of groups connected to geometry, topology and analysis. Automorphism groups of pro-\(p\) groups. The article ends with a list of unsolved problems.
- Russian Academy of Sciences Russian Federation
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Solvable groups, supersolvable groups, automorphism groups, Braid groups; Artin groups, Automorphisms of infinite groups, soluble groups, Nilpotent groups, Fundamental groups and their automorphisms (group-theoretic aspects), relatively free metabelian groups, Automorphism groups of groups, Groups acting on trees, Representations of groups as automorphism groups of algebraic systems, survey, polycyclic groups, free groups, Limits, profinite groups, pro-\(p\) groups
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Solvable groups, supersolvable groups, automorphism groups, Braid groups; Artin groups, Automorphisms of infinite groups, soluble groups, Nilpotent groups, Fundamental groups and their automorphisms (group-theoretic aspects), relatively free metabelian groups, Automorphism groups of groups, Groups acting on trees, Representations of groups as automorphism groups of algebraic systems, survey, polycyclic groups, free groups, Limits, profinite groups, pro-\(p\) groups
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