Efficient representatives for automorphisms of free products

DOI10.1307/mmj/1029005072zbMath0820.20035OpenAlexW1963944594MaRDI QIDQ1345484

Donald J. Collins, Edward C. Turner

Publication date: 14 September 1995

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

Full work available at URL: https://doi.org/10.1307/mmj/1029005072

zbMATH Keywords

automorphismsfreely indecomposable groupsKurosh rankKurosh subgroup theoremfree product of freely indecomposable groupsKurosh subgroup rankScott conjecturesubgroup of fixed elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

FIXED POINTS OF SYMMETRIC ENDOMORPHISMS OF GROUPS ⋮ Fixed points of endomorphisms of certain free products ⋮ Fixed points of endomorphisms over special confluent rewriting systems. ⋮ The Nielsen-Thurston classification and automorphisms of a free group. I ⋮ Explicit bounds for fixed subgroups of endomorphisms of free products ⋮ Train track maps on graphs of groups ⋮ Fixed subgroups of endomorphisms of free products. ⋮ Asymmetry of outer space of a free product ⋮ An automorphism of a free group of finite rank with maximal rank fixed point subgroup fixes a primitive element ⋮ On subgroups of finite complexity in groups acting on trees. ⋮ Stable representatives for symmetric automorphisms of groups and the general form of the Scott conjecture ⋮ Automorphisms of hyperbolic groups and graphs of groups.

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