´╗┐

Centralizers in Hall's universal and direct limits of finitary symmetric groups


Abstract


We study the centralizers of finite subgroups in Hall's universal group. We describe the structure of the centralizers of arbitrary finite subgroups in the groups S(\xi) and FSym(\kappa)(\xi) where S(\xi)'s are obtained as direct limits of finite symmetric groups and FSym(\kappa)(\xi)'s are obtained as direct limits of finitary symmetric groups on the set of infinite cardinality \kappa.

DOI Code: 10.1285/i15900932v34n1p105

Keywords: Centralizer; simple locally finite; direct limits of finitary symmetric groups

Full Text: PDF


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.