Abstract
The goal of this paper is to show the following result: for every integer
-
Communicated by: Rachel Skipper
References
[1] R. N. Buttsworth, A family of groups with a countable infinity of full orders, Bull. Aust. Math. Soc. 4 (1971), 97–104. 10.1017/S000497270004630XSuche in Google Scholar
[2] A. Clay, Isolated points in the space of left orderings of a group, Groups Geom. Dyn. 4 (2010), no. 3, 517–532. 10.4171/ggd/93Suche in Google Scholar
[3] A. Clay and T. Reimer, Dense orderings in the space of left-orderings of a group, Canad. Math. Bull. 63 (2020), no. 2, 393–404. 10.4153/S0008439519000493Suche in Google Scholar
[4] W. Kazmi, Ordered groups, computability and Cantor–Bendixson rank, Ph.D. Thesis, University of Connecticut, 2023. 10.1017/bsl.2023.26Suche in Google Scholar
[5] P. A. Linnell, The space of left orders of a group is either finite or uncountable, Bull. Lond. Math. Soc. 43 (2011), no. 1, 200–202. 10.1112/blms/bdq099Suche in Google Scholar
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the kernel of actions on asymptotic cones
- CAT(0) cube complexes and asymptotically rigid mapping class groups
- Iwip endomorphisms of free groups and fixed points of graph selfmaps
- Space of orders with finite Cantor–Bendixson rank
- Lifting subgroups of PSL2 to SL2 over local fields
- Regular 3-polytopes of order 2𝑛𝑝
- On the number of tuples of group elements satisfying a first-order formula
- Exponent-critical groups
- On soluble groups in which commutators have prime power order
- A character theoretic criterion for Fitting height
- Hilbert divisors and degrees of irreducible Brauer characters
- Character triples and relative defect zero characters
Artikel in diesem Heft
- Frontmatter
- On the kernel of actions on asymptotic cones
- CAT(0) cube complexes and asymptotically rigid mapping class groups
- Iwip endomorphisms of free groups and fixed points of graph selfmaps
- Space of orders with finite Cantor–Bendixson rank
- Lifting subgroups of PSL2 to SL2 over local fields
- Regular 3-polytopes of order 2𝑛𝑝
- On the number of tuples of group elements satisfying a first-order formula
- Exponent-critical groups
- On soluble groups in which commutators have prime power order
- A character theoretic criterion for Fitting height
- Hilbert divisors and degrees of irreducible Brauer characters
- Character triples and relative defect zero characters