Structure of Solvable Rational Groups | Zendy

Pál Hegedűs | Zendy

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Structure of Solvable Rational Groups

Author(s) -

Pál Hegedűs

Publication year - 2005

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s0024611504015035

Subject(s) - sylow theorems , mathematics , solvable group , mathematics subject classification , abelian group , order (exchange) , pure mathematics , rational number , group (periodic table) , algebra over a field , combinatorics , finite group , chemistry , organic chemistry , finance , economics

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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