Abstract
An example of an extension of a completely simple semigroup $$U$$ by a group $$H$$ is given which cannot be embedded into the wreath product of $$U$$ by $$H$$ . On the other hand, every central extension of $$U$$ by $$H$$ is shown to be embeddable in the wreath product of $$U$$ by $$H$$ , and any extension of $$U$$ by $$H$$ is proved to be embeddable in a semidirect product of a completely simple semigroup $$V$$ by $$H$$ where the maximal subgroups of $$V$$ are direct powers of those of $$U$$ .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.