Locally Finite Groups with Bounded Centralizer Chains
- 54 Downloads
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.
Keywordslocally finite group non-Abelian simple group lattice of centralizers c-dimension
Unable to display preview. Download preview PDF.
- 4.U. Meierfrankenfeld, Locally Finite, Simple Groups, Lecture Notes (2011); http://www.math.msu.edu/~meier/Classnotes/LFG/LFG.pdf.
© Springer Science+Business Media New York 2013