On fixed subgroups of maximal rank

DOI10.1080/00927879708826057zbMath0893.20025OpenAlexW2020930253MaRDI QIDQ4361061

Enric Ventura Capell

Publication date: 25 August 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708826057

zbMATH Keywords

endomorphismsautomorphismsfree groupscovering theory for graphsmaximal rank fixed subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items (13)

Fixed Subgroups are Compressed in Free Groups ⋮ Intersections of automorphism fixed subgroups in the free group of rank three. ⋮ Free-by-cyclic groups, automorphisms and actions on nearly canonical trees ⋮ Two examples in the Galois theory of free groups. ⋮ Stallings automata for free-times-abelian groups: intersections and index ⋮ Relative order and spectrum in free and related groups ⋮ On an algorithm to decide whether a free group is a free factor of another ⋮ Degrees of compression and inertia for free-abelian times free groups ⋮ TEST ELEMENTS IN DIRECT PRODUCTS OF GROUPS ⋮ READING OFF KUROSH DECOMPOSITIONS ⋮ A list of applications of Stallings automata ⋮ Computing fixed closures in free groups. ⋮ On automorphism-fixed subgroups of a free group

Cites Work

• Topology of finite graphs
• Train tracks and automorphisms of free groups
• On the intersection of subgroups of a free group
• Periodic automorphisms of free groups
• All automorphisms of free groups with maximal rank fixed subgroups
• Test Words for Automorphisms of Free Groups

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