Intersections of Odd Order Hall Subgroups |
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Authors: | Dolfi Silvio |
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Institution: | Dipartimento di Matematica, viale Morgagni 67/a, 50134 Firenze, Italy; dolfi{at}math.unifi.it |
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Abstract: | Given a set of odd primes and a -solvable finite group G, onecan choose three (not necessarily distinct) Hall -subgroupsof G whose intersection is O (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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