Twisted conjugacy in direct products of groups

DOI10.1080/00927872.2021.1945615zbMath1485.20074arXiv2105.01398OpenAlexW3202508524MaRDI QIDQ5860710

Pieter Senden

Publication date: 22 November 2021

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

Full work available at URL: https://arxiv.org/abs/2105.01398

zbMATH Keywords

direct producttwisted conjugacy\(R_{\infty}\)-propertyReidemeister number

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (4)

The Reidemeister spectrum of 2-step nilpotent groups determined by graphs ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Nielsen numbers of affine \(n\)-valued maps on nilmanifolds ⋮ The Reidemeister spectrum of finite abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups
• Homological stability for automorphism groups of RAAGs
• The \(R_{\infty}\) property for abelian groups
• Twisted conjugacy classes in nilpotent groups.
• Twisted conjugacy classes in unitriangular groups
• On the number of outer automorphisms of the automorphism group of a right-angled Artin group.
• Twisted conjugacy in simply connected groups.
• Aspects of the property \(R_\infty\).
• Reidemeister classes and twisted inner representations.
• The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains.
• Automorphisms of direct products of finite groups. II.
• Automorphisms with finite Reidemeister number in residually finite groups.
• Product formulae for Nielsen numbers of fibre maps
• Automorphisms of direct products of groups and their geometric realisations
• Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations
• The Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite.
• Twisted conjugacy classes in general and special linear groups.
• The Reidemeister spectra of low dimensional crystallographic groups
• Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group
• Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property
• Twisted conjugacy classes in Chevalley groups.
• Automorphisms of direct products of finite groups.
• The \(R_\infty\)-property for right-angled Artin groups
• TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
• Twisted conjugacy classes in nilpotent groups
• Lectures on Nielsen fixed point theory
• TWISTED CONJUGACY CLASSES IN EXPONENTIAL GROWTH GROUPS
• Dynamical zeta functions, Nielsen theory and Reidemeister torsion
• Twisted conjugacy in free products
• The $R_{\infty}$ property for Houghton's groups
• Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups
• Twisted Burnside-Frobenius theory for discrete groups
• The R _∞ property for free groups, free nilpotent groups and free solvable groups
• On the faithful representation of infinite groups by matrices
• A note on the R_∞ property for groups FAlt(X)⩽G⩽Sym(X)

This page was built for publication: Twisted conjugacy in direct products of groups