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On the product of two π-decomposable groups

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Kazarin, LS.; Martínez Pastor, A.; Perez Ramos, MD. (2015). On the product of two π-decomposable groups. Revista Matemática Iberoamericana. 31(1):51-68. doi:10.4171/rmi/826

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Title: On the product of two π-decomposable groups
Author: Kazarin, L. S. Martínez Pastor, Ana Perez Ramos, Maria Dolores
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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[EN] The aim of this paper is to prove the following result: let π be a set of odd primes. If the finite group G = AB is a product of two π-decomposable subgroups A = Oπ(A)×Oπ (A) and B = Oπ(B)×Oπ (B), then Oπ(A)Oπ(B)=Oπ(B)Oπ(A) ...[+]
Subjects: Finite groups , π-structure , π-decomposable groups , Products of subgroups , Hall subgroups , IUMPA
Copyrigths: Reserva de todos los derechos
Revista Matemática Iberoamericana. (issn: 0213-2230 )
DOI: 10.4171/rmi/826
European Mathematical Society-Publishing House
Publisher version: http://dx.doi.org/10.4171/rmi/826
Project ID:
The second and third authors were supported by Proyecto MTM2010-19938-C03-02, Ministerio de Economia y Competitividad, Spain. The first author would like to thank the Universitat de Valencia and the Universitat Politecnica ...[+]
Type: Artículo

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