Free polynilpotent groups and the Magnus property
DOI10.1515/forum-2022-0253OpenAlexW4319449193MaRDI QIDQ2689778
Jan Moritz Petschick, Benjamin Klopsch, Luis Augusto de Mendonça
Publication date: 14 March 2023
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.13691
conjugacy classessoluble groupsnilpotent groupsultraproductsMagnus propertyrelatively free groupspolynilpotent groups
Conjugacy classes for groups (20E45) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Extensions, wreath products, and other compositions of groups (20E22) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) Ultraproducts and related constructions (03C20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Magnus property for direct products
- Groups elementarily equivalent to a free 2-nilpotent group of finite rank.
- Groups elementarily equivalent to a free nilpotent group of finite rank
- Small cancellations over relatively hyperbolic groups and embedding theorems.
- Free subgroups in groups with few relators.
- Model theory.
- A Magnus extension for locally indicable groups
- Residual Properties of Infinite Soluble Groups
- Semi-rational solvable groups
- On elements of order four in certain free central extensions of groups
- A Magnus theorem for some amalgamated products
- The Theory of Nilpotent Groups
- A Magnus theorem for some one-relator groups
- Embedding Theorems for Groups