Twisted conjugacy in Houghton's groups

DOI10.1016/j.jalgebra.2017.07.013zbMath1467.20022arXiv1410.7051OpenAlexW2963097623MaRDI QIDQ2401720

Charles Garnet Cox

Publication date: 4 September 2017

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

Full work available at URL: https://arxiv.org/abs/1410.7051

zbMATH Keywords

permutation grouporbit decidabilitycomputable centralisersconjugacy problem for commensurable groupsHoughton groupuniform twisted conjugacy problem

Mathematics Subject Classification ID

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Permutation groups (20B99)

Related Items (7)

On the spread of infinite groups ⋮ Invariable generation and the Houghton groups ⋮ Structure and automorphisms of pure virtual twin groups ⋮ Conjugacy languages in virtual graph products ⋮ A note on the R_∞ property for groups FAlt(X)⩽G⩽Sym(X) ⋮ Some remarks on twin groups ⋮ On the finite index subgroups of Houghton's groups

Cites Work

• Commensurations and metric properties of Houghton's groups
• The first cohomology of a group with permutation module coefficients
• Transitive groups with fixed-point-free permutations. II
• Conjugacy in Houghton's groups.
• Centralizers in Houghton’s Groups
• On the algorithmic insolvability of the word problem in group theory
• Orbit decidability and the conjugacy problem for some extensions of groups
• The Conjugacy Problem and Subgroups of Finite Index
• On Group-Theoretic Decision Problems and Their Classification. (AM-68)
• On Systems of Linear Diophantine Equations
• The word problem
• Finiteness properties of groups
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