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    STUDIA MATHEMATICA - Issue no. 1 / 2010  
         
  Article:   COVERING SUBGROUPS IN FINITE PRIMITIVE π-SOLVABLE GROUPS.

Authors:  RODICA COVACI. 		 
       
         
  Abstract:  Let π be an arbitrary set of primes and let X be a π -closed Schunck class. The paper deals with the study of X-covering subgroups in finite primitive π -solvable groups, connecting them with complements, stabilizers and X-maximal subgroups. Some characterization theorems for X-covering subgroups in finite primitive π -solvable groups by means of complements of appropriate minimal normal subgroups, by means of stabilizers and by means of some X-maximal subgroups are given.

Key words and phrases. Schunck class, covering subgroup, primitive group, π-solvable group.
  
         
     
         
         
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