arXiv (All)
open access
Mazurov's question on fixed points of automorphisms of free Burnside groups
In the Kourovka Notebook, V.\,D.~Mazurov asked whether an automorphism $α$ of prime order $m$ of the infinite free Burnside group $G=B(m,q)$ of prime period $q$ that cyclically permutes the free generators of $G$ must have a nontrivial fixed point. In this paper, we show that for $m\ge3$ the answer
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Limits of Baumslag-Solitar groups#785010
- Limits of Baumslag-Solitar groups#783420
- Length-generating functions for twisted involutions of Coxeter groups#985401
- The ozone groups of the algebras $B_q(f)$#793104
- The ozone groups of the algebras $B_q(f)$#789100
Record · ID 1119014
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive