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Structure of solvable rational groups

Published online by Cambridge University Press:  25 February 2005

Hegedűs Pál
Hegedűs Pál
Affiliation:
Department of Algebra and Number Theory, Eötvös University, Pázmány Péter sétány 1/c, Budapest 1117, Hungary. E-mail: hegpal@cs.elte.hu
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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.

Keywords

rational groupsrepresentation theory of groupssolvable groups20C1520C2020E3420E45
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 90 , Issue 2 , March 2005 , pp. 439 - 471
Copyright
2005 London Mathematical Society

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