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Large orbits in coprime actions of solvable groups |
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| Authors: | Silvio Dolfi |
| Affiliation: | Dipartimento di Matematica ``U. Dini', Università degli Studi di Firenze, Firenze, 50134 Italy |
| Abstract: | Let  be a solvable group of automorphisms of a finite group  . If  and  are coprime, then there exists an orbit of  on  of size at least  . It is also proved that in a  -solvable group, the largest normal  -subgroup is the intersection of at most three Hall  -subgroups. |
| Keywords: | Finite groups coprime action regular orbits. |
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