Finite Groups with Four Conjugacy Class Sizes
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http://dx.doi.org/10.1080/00927871003645417 |
Metadatos
Título
Finite Groups with Four Conjugacy Class SizesAutoría
Otras autorías
Felipe, María JoséFecha de publicación
2012-10-01Editor
Taylor & FrancisISSN
0092-7872; 1532-4125Cita bibliográfica
Communications in Algebra, n. 39, 2011Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We determine the structure of all finite groups with four class sizes when two of them are coprime numbers larger than 1. We prove that such groups are solvable and that the set of class sizes is exactly {1,m,n,mk}, ... [+]
We determine the structure of all finite groups with four class sizes when two of them are coprime numbers larger than 1. We prove that such groups are solvable and that the set of class sizes is exactly {1,m,n,mk}, where m,n>1 are coprime numbers and k>1 is a divisor of n. [-]
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- MAT_Articles [769]