A note on the R∞ property for groups FAlt(X)⩽G⩽Sym(X)

DOI10.1080/00927872.2018.1499917zbMath1475.20054arXiv1602.02688OpenAlexW2901028145MaRDI QIDQ5743045

Charles Garnet Cox

Publication date: 8 May 2019

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

Full work available at URL: https://arxiv.org/abs/1602.02688

zbMATH Keywords

commensurable groupstwisted conjugacy classestwisted conjugacyHoughton's groupsinfinite torsion groupshighly transitive groups\(R_\infty\) property

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (6)

On the spread of infinite groups ⋮ Invariable generation and the Houghton groups ⋮ Correction to: ``On the finite index subgroups of Houghton's groups ⋮ The non-commuting, non-generating graph of a non-simple group ⋮ Twisted conjugacy in direct products of groups ⋮ On the finite index subgroups of Houghton's groups

Cites Work

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• Cardinal invariants distinguishing permutation groups
• Commensurations and metric properties of Houghton's groups
• Transitivity degrees of countable groups and acylindrical hyperbolicity
• Groups of bounded period with subgroups of prime order
• Sigma theory and twisted conjugacy. II: Houghton groups and pure symmetric automorphism groups
• The first cohomology of a group with permutation module coefficients
• Twisted conjugacy in Houghton's groups
• The $R_{\infty}$ property for Houghton's groups
• Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups
• Embedding Theorems for Groups

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