Abstract
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 language | English |
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Title of host publication | Infinite Group Theory |
Subtitle of host publication | From The Past To The Future |
Publisher | World Scientific Publishing Co. Pte Ltd |
Pages | 43-49 |
Number of pages | 7 |
ISBN (Electronic) | 9789813204058 |
ISBN (Print) | 9789813204041 |
State | Published - 26 Dec 2017 |
Bibliographical note
Publisher Copyright:© 2018 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
ASJC Scopus subject areas
- General Mathematics