Structure of solvable rational groups

Structure of solvable rational groups

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.

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Veröffentlicht in:Proceedings of the London Mathematical Society 2005-03, Vol.90 (2), p.439-471
1. Verfasser: Pál, Hegedűs
Format: Artikel
Sprache:eng
Schlagworte:
rational groups
representation theory of groups
solvable groups
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Zusammenfassung: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.
ISSN:0024-6115
1460-244X
DOI:10.1112/S0024611504015035