Finite Groups with Four Conjugacy Class Sizes
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http://dx.doi.org/10.1080/00927871003645417 |
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Title
Finite Groups with Four Conjugacy Class SizesAuthor (s)
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Felipe, María JoséDate
2012-10-01Publisher
Taylor & FrancisISSN
0092-7872; 1532-4125Bibliographic citation
Communications in Algebra, n. 39, 2011Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionAbstract
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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