The zappa-szep product of left-orderable groups

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


It is well-known that the direct product of left-orderable groups is left-orderable and that, under a certain condition, the semi-direct product of left-orderable groups is left-orderable. We extend this result and show that, under a similar condition, the Zappa-Szep product of left-orderable groups is left-orderable. Moreover, we find conditions that ensure the existence of a partial left and right invariant ordering (bi-order) in the Zappa-Szep product of bi-orderable groups and prove some properties satisfied.

Original languageEnglish
Title of host publicationInfinite Group Theory
Subtitle of host publicationFrom The Past To The Future
PublisherWorld Scientific Publishing Co. Pte Ltd
Number of pages7
ISBN (Electronic)9789813204058
ISBN (Print)9789813204041
StatePublished - 26 Dec 2017

Bibliographical note

Publisher Copyright:
© 2018 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.

ASJC Scopus subject areas

  • General Mathematics


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