Geodesic
Inert subgroups of uncountable locally finite groups
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 615-622.

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Let $G$ be an uncountable universal locally finite group. We study subgroups $H$ such that for every $g\in G$, $|H:H\cap H^g||H|$.
Classification : 20A15, 20E07, 20E25, 20F50
Keywords: universal locally finite group; inert subgroup 
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     author = {Majcher-Iwanow, Barbara},
     title = {Inert subgroups of uncountable locally finite groups},
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     pages = {615--622},
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     zbl = {1101.20023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2003__44_4_a4/}
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Majcher-Iwanow, Barbara. Inert subgroups of uncountable locally finite groups. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 615-622. http://geodesic.mathdoc.fr/item/CMUC_2003__44_4_a4/