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Itô's theorem on groups with two class sizes revisited

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Itô's theorem on groups with two class sizes revisited

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Alemany Martínez, E.; Beltrán, A.; Felipe Román, MJ. (2012). Itô's theorem on groups with two class sizes revisited. Bulletin of the Australian Mathematical Society. 85:476-481. doi:10.1017/S0004972711002875

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/31896

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Title: Itô's theorem on groups with two class sizes revisited
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
Let G be a finite p-solvable group. We prove that if G has exactly two conjugacy class sizes of p'-elements of prime power order, say 1 and m, then m = p(a)q(b), for two distinct primes p and q, and G either has an abelian ...[+]
Subjects: Finite groups , Conjugacy class sizes , Solvable groups
Copyrigths: Cerrado
Source:
Bulletin of the Australian Mathematical Society. (issn: 0004-9727 ) (eissn: 1755-1633 )
DOI: 10.1017/S0004972711002875
Publisher:
Cambridge University Press
Publisher version: http://dx.doi.org/10.1017/S0004972711002875
Thanks:
This research is supported by the Spanish Government, Proyecto MTM2010-19938-C03-02 and the second and third authors are supported by the Valencian Government, Proyecto PROMETEO/2011/30. The second author is also supported ...[+]
Type: Artículo

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