Uncountable locally free groups and their group rings

DOI10.1515/jgth-2017-0031zbMath1390.20026arXiv1601.00295OpenAlexW2962801074MaRDI QIDQ1693069

Tsunekazu Nishinaka

Publication date: 11 January 2018

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00295

zbMATH Keywords

free groupsfree product of groupsprimitive group ringsnon-abelian locally free groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Local properties of groups (20E25)

Related Items

Freely indecomposable almost free groups with free abelianization

Cites Work

• Unnamed Item
• Unnamed Item
• GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE
• A Finitely Related Group with An Isomorphic Proper Factor Group
• Almost Free Groups