Some remarks on inp-minimal and finite burden groups
Dobrowolski, J and Goodrick, J
(2019)
Some remarks on inp-minimal and finite burden groups.
Archive for Mathematical Logic, 58 (3-4).
pp. 267-274.
ISSN 0933-5846
Abstract
We prove that any left-ordered inp-minimal group is abelian and we provide an example of a non-abelian left-ordered group of dp-rank 2. Furthermore, we establish a necessary condition for a group to have finite burden involving normalizers of definable sets, reminiscent of other chain conditions for stable groups.
Metadata
Authors/Creators:
Dobrowolski, J
Goodrick, J
Copyright, Publisher and Additional Information:
(c) 2018, Springer-Verlag GmbH Germany, part of Springer Nature. This is an author produced version of a paper published in 'Archive for Mathematical Logic'. Uploaded in accordance with the publisher's self-archiving policy.
Keywords:
dp-minimal; Left-ordered groups; Finite burden groups
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