Abstract

Generalizing the notion of a group action, we define actions of hypergroups. Our focus is on regular actions. In contrast to groups which always allow exactly one (right) regular action hypergroups may have no regular action, they also may have infinitely many regular actions. With an eye on the second case we establish a class of hypergroups the regular actions of which correspond in a bijective way to semiregular buildings. (The class of semiregular buildings includes the class of thick buildings and is defined via a regularity condition on the panels of a building.)

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.