Finite Groups with Four Conjugacy Class Sizes
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Finite Groups with Four Conjugacy Class SizesAutoria
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Felipe, María JoséData de publicació
2012-10-01Editor
Taylor & FrancisISSN
0092-7872; 1532-4125Cita bibliogràfica
Communications in Algebra, n. 39, 2011Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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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