Actions of finite groups of graphs and related automorphisms of free groups

DOI10.1016/0021-8693(89)90154-3zbMath0675.20025OpenAlexW2169463973MaRDI QIDQ1121991

Sava Krstić

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90154-3

zbMATH Keywords

automorphism groups of free groupsisomorphism problemfundamental groupoidsfree group of finite rankactions of groups on graphsfinitely generated centralizersfinitely generated free by finite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

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Automorphisms of free groups with boundaries., On the mod-\(p\) cohomology of \(\text{Out}(F_{2(p-1)})\)., Algorithmic recognition of infinite cyclic extensions, The isomorphism problem for finite extensions of free groups is in PSPACE, On groups presented by inverse-closed finite confluent length-reducing rewriting systems, An effective version of Stallings' theorem in the case of context-free groups, Topographs and groups, Automorphism group of a free group: Centralizers and stabilizers, Cohomology of \(\Aut(F_n)\) in the \(p\)-rank two case, CONTEXT-FREE GROUPS AND THEIR STRUCTURE TREES, Determining whether a finite group of outer automorphisms of a free group is geometric., Space Complexity and Word Problems of Groups, Finite graphs of groups with isomorphic fundamental groups, Automorphisms of automorphism groups of free groups, Contractibility of fixed point sets of auter space

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