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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/65034
Title:
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On the product of two π-decomposable groups
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Author:
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Kazarin, L. S.
Martínez Pastor, Ana
Perez Ramos, Maria Dolores
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UPV Unit:
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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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Issued date:
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Abstract:
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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) ...[+]
[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) and this is a Hall π-subgroup of G.
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Subjects:
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Finite groups
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π-structure
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π-decomposable groups
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Products of subgroups
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Hall subgroups
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IUMPA
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Revista Matemática Iberoamericana. (issn:
0213-2230
)
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DOI:
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10.4171/rmi/826
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Publisher:
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European Mathematical Society-Publishing House
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Publisher version:
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http://dx.doi.org/10.4171/rmi/826
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Project ID:
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MINECO/MTM2010-19938-C03-02
RFBR/13-01-00469
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Thanks:
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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 ...[+]
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 de Valencia for their warm hospitality during the preparation of this paper and the RFBR Project 13-01-00469 for its support. The authors are also grateful to A. S. Kondratiev for helpful comments and suggestions during his visit to Valencia.
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Type:
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Artículo
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