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2005•Proceedings of the London Mathematical SocietyRequires access

Structure of solvable rational groups

Pál Hegedüs

Open publisher page 9 citations

Abstract

R. Gow proved that the order of a solvable rational group is divisible only by the primes 2, 3 and 5. In this paper it is proved that in a solvable rational group the Sylow 5-subgroup is always normal and elementary Abelian. Moreover, the structure of rational {2, 5}-groups is described in detail. 2000 Mathematics Subject Classification 20C15, 20C20, 20E34, 20E45.

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What this paper is about

R. Gow proved that the order of a solvable rational group is divisible only by the primes 2, 3 and 5. In this paper it is proved that in a solvable rational group the Sylow 5-subgroup is always normal and elementary Abelian. Moreover, the structure of rational {2, 5}-groups is described in detail. 2000 Mathematics Subject Classification 20C15, 20C20, 20E34, 20E45.

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Available abstract

R. Gow proved that the order of a solvable rational group is divisible only by the primes 2, 3 and 5. In this paper it is proved that in a solvable rational group the Sylow 5-subgroup is always normal and elementary Abelian. Moreover, the structure of rational {2, 5}-groups is described in detail. 2000 Mathematics Subject Classification 20C15, 20C20, 20E34, 20E45.

Key concepts: Sylow theorems, Mathematics, Solvable group, Mathematics Subject Classification, Abelian group, Order (exchange), Pure mathematics, Rational number

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