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Intersections of Odd Order Hall Subgroups
Authors:Dolfi  Silvio
Institution:Dipartimento di Matematica, viale Morgagni 67/a, 50134 Firenze, Italy; dolfi{at}math.unifi.it
Abstract:Given a set {pi} of odd primes and a {pi}-solvable finite group G, onecan choose three (not necessarily distinct) Hall {pi}-subgroupsof G whose intersection is O{pi}(G). This statement relies on aresult concerning long orbits in coprime actions of groups ofodd order. 2000 Mathematics Subject Classification 20D20.
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