Structure of Solvable Rational Groups |
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| Authors: | Pal Hegedus |
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| Affiliation: | Department of Algebra and Number Theory, Eötvös University Pázmány Péter sétány 1/c, Budapest 1117, Hungary. E-mail: hegpal{at}cs.elte.hu |
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| Abstract: | ![]()
R. Gow proved that the order of a solvable rational group isdivisible only by the primes 2, 3 and 5. In this paper it isproved that in a solvable rational group the Sylow 5-subgroupis always normal and elementary Abelian. Moreover, the structureof rational {2, 5}-groups is described in detail. 2000 MathematicsSubject Classification 20C15, 20C20, 20E34, 20E45. |
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| Keywords: | rational groups representation theory of groups solvable groups |
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