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Finite groups with four conjugacy class sizes

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Finite groups with four conjugacy class sizes

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Beltrán, A.; Felipe Román, MJ. (2011). Finite groups with four conjugacy class sizes. Communications in Algebra. 39(4):1260-1272. https://doi.org/10.1080/00927871003645417

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/60291

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Title: Finite groups with four conjugacy class sizes
Author: Beltrán, Antonio Felipe Román, María Josefa
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
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}, ...[+]
Subjects: Class sizes , Conjugacy , Finite groups
Copyrigths: Cerrado
Source:
Communications in Algebra. (issn: 0092-7872 )
DOI: 10.1080/00927871003645417
Publisher:
Taylor & Francis: STM, Behavioural Science and Public Health Titles
Publisher version: http://dx.doi.org/10.1080/00927871003645417
Project ID:
info:eu-repo/grantAgreement/UJI//P1·1B2008-09/
info:eu-repo/grantAgreement/MEC//MTM2007-68010-C03-03/ES/GRUPOS: ESTRUCTURA Y APLICACIONES III/
info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-02/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES. III/
info:eu-repo/grantAgreement/Fundació Caixa Castelló - Bancaixa//P11B2008-09/
Description: This is an author's accepted manuscript of an article published in the Communications in Algebra: Volume 39, Issue 4, 2011: copyright Taylor & Francis. Available online at: http://www.tandfonline.com/doi/abs/10.1080/00927871003645417
Thanks:
We would like to thank the referee for all his comments and suggestions, and we are also truly grateful to Professor Kazarin for the detailed information he provided us on his article [19]. This work was partially supported ...[+]
Type: Artículo

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