A family of groups with a countable infinity of full orders

Author:

Buttsworth R. N.

Abstract

We construct a family of groups with precisely NO full orders.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference1 articles.

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The number of locally invariant orderings of a group;Journal of Group Theory;2023-04-29

2. Orders on magmas and computability theory;Journal of Knot Theory and Its Ramifications;2018-06

3. On spaces of Conradian group orderings;Journal of Group Theory;2010-01

4. Reverse Mathematics and Fully Ordered Groups;Notre Dame Journal of Formal Logic;1998-04-01

5. Ordered solvable groups satisfying the maximal condition on isolated subgroups and groups with finitely many relatively convex subgroups;Journal of Algebra;1975-07

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