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

    • Mathematics (all)


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