Geodesic
ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 49-54

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DOI

The c-dimension of a group is the maximum length of a chain of nested centralizers. It is proved that a periodic locally soluble group of finite c-dimension k is soluble of derived length bounded in terms of k, and the rank of its quotient by the Hirsch–Plotkin radical is bounded in terms of k. Corollary: a pseudo-(finite soluble) group of finite c-dimension k is soluble of derived length bounded in terms of k.
DOI : 10.1017/S0017089508004527
Mots-clés : Primary: 20D10, Secondary: 03C20, 20D45, 20F16, 20F22 
KHUKHRO, E. I. ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 49-54. doi: 10.1017/S0017089508004527
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