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Abstract
The maximal independent sets of the soluble graph of a finite simple group G are studied and their independence number is determined. In particular, it is shown that this graph in many cases has an independent set with three vertices.
ACKNOWLEDGMENT
The authors like to thank the referee for many useful suggestions.
The second author is grateful to the Department of Mathematics of the University of Mainz for its warm hospitality during the time when this reseach was done. He also likes to thank the Deutsche Forschungsgemeinschaft and the RFBR (project 13-01-00469) for financial support.
Notes
Communicated by A. Olshanskii.