- -

Structure of p-complements in groups with three p-regular class sizes

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Structure of p-complements in groups with three p-regular class sizes

Mostrar el registro completo del ítem

Beltrán, A.; Felipe Román, MJ. (2013). Structure of p-complements in groups with three p-regular class sizes. Monatshefte für Mathematik. 171(2):157-167. https://doi.org/10.1007/s00605-012-0466-x

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/58507

Ficheros en el ítem

[Cerrado]
Nombre: Felipe;ANTONIO ...
Tamaño: 137.6Kb
Formato: PDF
Descripción: Versión del Editor
Solicitar una copia al autor

Metadatos del ítem

Título: Structure of p-complements in groups with three p-regular class sizes
Autor: Beltrán, Antonio Felipe Román, María Josefa
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
Let G be a finite p-solvable group for some prime p and suppose that the set of p-regular conjugacy class sizes is {1,m,mn} with (m,n)=1 and m coprime to p. We show that m=qb for some prime q and we describe the structure ...[+]
Palabras clave: Finite p-solvable groups , Conjugacy class sizes , P-Regular elements
Derechos de uso: Cerrado
Fuente:
Monatshefte für Mathematik. (issn: 0026-9255 )
DOI: 10.1007/s00605-012-0466-x
Editorial:
Springer Verlag (Germany)
Versión del editor: http://dx.doi.org/10.1007/s00605-012-0466-x
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-02/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES. III/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2011%2F030/
Agradecimientos:
This research is supported by the Spanish Government, Proyecto MTM2010-19938-C03-02 and by the Valencian Government, Proyecto PROMETEO/2011/30. The first author is also supported by grant Fundacio Caixa-Castello P11B2010-47.[+]
Tipo: Artículo

References

Akhlaghi, Z., Beltrán, A., Felipe, M.J., Khatami, M.: Finite $$p$$ -solvable groups with three $$p$$ -regular class sizes. Proc. Edinb. Math. Soc. (2012). doi: 10.1017/s0013091511000654

Alemany, E., Beltrán, A., Felipe, M.J.: Finite groups with two $$p$$ -regular conjugacy class lengths II. Bull. Aust. Math. Soc. 79, 419–425 (2009)

Alemany, E., Beltrán, A.: Felipe, M.J: Itô’s theorem on groups with two class sizes revisited. Bull. Aust. Math. Soc. 85, 476–481 (2012) [+]
Akhlaghi, Z., Beltrán, A., Felipe, M.J., Khatami, M.: Finite $$p$$ -solvable groups with three $$p$$ -regular class sizes. Proc. Edinb. Math. Soc. (2012). doi: 10.1017/s0013091511000654

Alemany, E., Beltrán, A., Felipe, M.J.: Finite groups with two $$p$$ -regular conjugacy class lengths II. Bull. Aust. Math. Soc. 79, 419–425 (2009)

Alemany, E., Beltrán, A.: Felipe, M.J: Itô’s theorem on groups with two class sizes revisited. Bull. Aust. Math. Soc. 85, 476–481 (2012)

Beltrán, A., Felipe, M.J.: The structure of finite groups with three class sizes. J. Group Theory 12, 539–553 (2009)

Beltrán, A., Felipe, M.J.: Certain relations between $$p$$ -regular class sizes and the $$p$$ -structure of $$p$$ -solvable groups. J. Aust. Math. Soc. 77, 387–400 (2004)

Beltrán, A., Felipe, M.J.: Prime powers as conjugacy class lengths of $$\pi $$ -elements. Bull. Austral. Math. Soc. 69, 317–325 (2004)

Camina, A.R., Camina, R.D.: Implications of conjugacy class size. J. Group Theory 1, 257–269 (1998)

Dolfi, S., Jabara, E.: The structure of finite groups of conjugate rank 2. Bull. Lond. Math. Soc. 41, 916926 (2009)

Huppert, B.: Character theory of finite groups. De Gruyter Expositions in Mathematics, vol. 25. Walter de Gruyter & Co, Berlin (1998)

Itô, N.: On finite groups with given conjugate types. II. Osaka J. Math. 7, 231–251 (1970)

Kurzweil, K., Stellmacher, B.: The theory of finite groups. Springer, New York (2004)

Schmidt, R.: Subgroup lattices of groups. Walter de Gruyter, Berlin (1994)

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem