Computing fixed closures in free groups.

zbMath1226.20019arXiv0910.0713MaRDI QIDQ716396

Enric Ventura Capell

Publication date: 28 April 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0713

zbMATH Keywords

endomorphismsautomorphismsfixed subgroupsfixed closures in free groups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

A list of applications of Stallings automata, Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups

Cites Work

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• Two examples in the Galois theory of free groups.
• Topology of finite graphs
• Train tracks and automorphisms of free groups
• Examples of retracts in free groups that are not the fixed subgroup of any automorphism.
• On automorphism-fixed subgroups of a free group
• Stallings foldings and subgroups of free groups
• Fixed Subgroups are Compressed in Free Groups
• ON THE COMPLEXITY OF THE WHITEHEAD MINIMIZATION PROBLEM
• Endomorphisms of free groups and their fixed points
• Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups
• On fixed subgroups of maximal rank
• CLOSED SUBGROUPS IN PRO-V TOPOLOGIES AND THE EXTENSION PROBLEM FOR INVERSE AUTOMATA
• The Group Fixed by a Family of Injective Endomorphisms of a Free Group