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Intersection of Centralizers in a Partially Commutative Metabelian Group

Intersection of Centralizers in a Partially Commutative Metabelian Group For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra and Logic Springer Journals

Intersection of Centralizers in a Partially Commutative Metabelian Group

Algebra and Logic , Volume 61 (4) – Sep 1, 2022

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References (3)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0002-5232
eISSN
1573-8302
DOI
10.1007/s10469-023-09701-6
Publisher site
See Article on Publisher Site

Abstract

For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial.

Journal

Algebra and LogicSpringer Journals

Published: Sep 1, 2022

Keywords: partially commutative group; metabelian group; graph; cycle; clique

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