Orders on free metabelian groups
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Wenhao Wang
Abstract
A bi-order on a group đș is a total, bi-multiplication invariant order.
A subset đ in an ordered group
Award Identifier / Grant number: 075-15-2022-265
Funding statement: The work was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2022-265).
Acknowledgements
The author acknowledges Igor Lysenok for many inspirational discussions on this subject and CristĂłbal Rivas for pointing out that Corollary 8.4 holds for Conradian orders. The author is also grateful to the referee/s for his/her many useful comments which led to a refinement of the paper and some new results.
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Communicated by: Timothy C. Burness
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Virtual planar braid groups and permutations
- Orders on free metabelian groups
- The Reidemeister spectrum of direct products of nilpotent groups
- Structure of the Macdonald groups in one parameter
- Finite groups with modular đ-subnormal subgroups
- Invariance of the Schur multiplier, the Bogomolov multiplier and the minimal number of generators under a variant of isoclinism
- An exact sequence for the graded Picent
Artikel in diesem Heft
- Frontmatter
- Virtual planar braid groups and permutations
- Orders on free metabelian groups
- The Reidemeister spectrum of direct products of nilpotent groups
- Structure of the Macdonald groups in one parameter
- Finite groups with modular đ-subnormal subgroups
- Invariance of the Schur multiplier, the Bogomolov multiplier and the minimal number of generators under a variant of isoclinism
- An exact sequence for the graded Picent
