Geodesic
Locally finite groups with bounded centralizer chains
Algebra i logika, Tome 52 (2013) no. 5, pp. 553-558

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The $c$-dimension of a group $G$ is the maximal length of a chain of nested centralizers in $G$. We prove that a locally finite group of finite $c$-dimension $k$ has less than $5k$ non-Abelian composition factors.
Keywords: locally finite group, lattice of centralizers
Mots-clés : non-Abelian simple group, $c$-dimension. 
@article{AL_2013_52_5_a1,
     author = {A. A. Buturlakin and A. V. Vasil'ev},
     title = {Locally finite groups with bounded centralizer chains},
     journal = {Algebra i logika},
     pages = {553--558},
     publisher = {mathdoc},
     volume = {52},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_5_a1/}
}
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A. A. Buturlakin; A. V. Vasil'ev. Locally finite groups with bounded centralizer chains. Algebra i logika, Tome 52 (2013) no. 5, pp. 553-558. http://geodesic.mathdoc.fr/item/AL_2013_52_5_a1/