The zappa-szep product of left-orderable groups

Fabienne Chouraqui

The zappa-szep product of left-orderable groups

Fabienne Chouraqui

Department of Mathematics, Physics and Computer Science (Oranim Campus)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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
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

Cite this

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ER -

The zappa-szep product of left-orderable groups

Abstract

Bibliographical note

ASJC Scopus subject areas

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