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

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Department of Mathematics, Article

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Citation Formats

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.