Khukhro, E. I. (2009) On solubility of groups with bounded centralizer chains. Glasgow Mathematical Journal, 51 (1). pp. 4954. ISSN 00170895
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15590 S0017089508004527a.pdf  Whole Document Restricted to Repository staff only 76kB 
Item Type:  Article 

Item Status:  Live Archive 
Abstract
The cdimension of a group is the maximum length of a chain of nested centralizers. It is proved that a periodic locally soluble group of finite cdimension k is soluble of derived length bounded in terms of k, and the rank of its quotient by the HirschPlotkin radical is bounded in terms of k. Corollary: a pseudo(finite soluble) group of finite cdimension k is soluble of derived length bounded in terms of k. Â© 2008 Glasgow Mathematical Journal Trust.
Keywords:  Algebra 

Subjects:  G Mathematical and Computer Sciences > G100 Mathematics 
Divisions:  College of Science > School of Mathematics and Physics 
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ID Code:  15590 
Deposited On:  04 Jan 2016 08:50 
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