Permanence properties of verbal products and verbal wreath products of groups

DOI10.4171/GGD/665MaRDI QIDQ2102151

Román Sasyk, Javier Brude

Publication date: 28 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07800

zbMATH Keywords

Haagerup propertysofic groupsKazhdan's property (T)exact groupshyperlinear groupsweakly sofic groupslinear sofic groupsVerbal products of groupsverbal wreath products

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some closure results for \(\mathcal{C}\)-approximable groups
• On sofic actions and equivalence relations
• On nilpotent multipliers of some verbal products of groups.
• Sofic groups and profinite topology on free groups.
• The classification problem for von Neumann factors
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• The criterion of Shmel'kin and varieties generated by wreath products of finite groups
• Some notes on the Baer-invariant of a nilpotent product of groups
• Permanence properties of the second nilpotent product of groups
• Proper actions of lamplighter groups associated with free groups
• The tensor product and the 2nd nilpotent product of groups
• Proper actions of wreath products and generalizations
• Linear sofic groups and algebras
• Ordered groups and topology
• Nilpotent products of groups
• Metabelian products of groups
• On Associative Products of Groups
• Associative Operations on Groups. I
• On Nilpotent Products of Cyclic Groups
• Associative Operations on Groups. II†
• On Verbal Products of Groups
• On the Magnus–Smelkin embedding
• Metric Approximations of Wreath Products
• ABOUT THE QWEP CONJECTURE
• FINITARY APPROXIMATIONS OF GROUPS AND THEIR APPLICATIONS
• Capability of nilpotent products of cyclic groups
• On sofic groups
• Hyperlinear and Sofic Groups: A Brief Guide
• Varieties of groups
• Verbal wreath products and certain product varieties of groups
• Unrestricted wreath products and sofic groups
• Capability of nilpotent products of cyclic groups II

This page was built for publication: Permanence properties of verbal products and verbal wreath products of groups