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Centralizers in Hall’s universal groups and direct limits of finitary symmetric groups
Date
2014-01-01
Author
kegel, Otto
Kuzucuoğlu, Mahmut
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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.
Subject Keywords
Centralizer
,
Simple locally finite
,
Direct limits of finitary symmetric groups
URI
https://hdl.handle.net/11511/42133
Journal
note di matematica
DOI
https://doi.org/10.1285/i15900932v34n1p105
Collections
Department of Mathematics, Article
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O. kegel and M. Kuzucuoğlu, “Centralizers in Hall’s universal groups and direct limits of finitary symmetric groups,”
note di matematica
, pp. 105–114, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42133.