Ballester Bolinches, A.; Calvo Lopez, C.; Esteban Romero, R. (2003). A question from the Kourovka Notebook on formation products. Bulletin of the Australian Mathematical Society. 3(68). doi:10.1017/S0004972700037862
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/19031
Title:
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A question from the Kourovka Notebook on formation products
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Author:
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Ballester Bolinches, Adolfo
Calvo Lopez, Clara
Esteban Romero, Ramón
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UPV Unit:
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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
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Issued date:
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Abstract:
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[EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated ...[+]
[EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated formations if H = G. It answers some open questions on products of formations. The relation between omega-saturated and X-saturated formations is also discussed.
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Subjects:
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Finite group
,
X-local formation
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Saturated formation
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X-saturated formation
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Composition formation
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Omega-saturated formation
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Bulletin of the Australian Mathematical Society. (issn:
0004-9727
)
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DOI:
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10.1017/S0004972700037862
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Publisher:
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Cambridge University Press
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Publisher version:
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http://dx.doi.org/10.1017/S0004972700037862
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Project ID:
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MCYT/BFM2001-1667-C03-03
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Description:
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This paper has been published in Bulletin of the Australian Mathematical Society, 68(3):461-470 (2003).
Copyright 2003 by Australian Mathematical Publishing Association Inc and Cambridge University Press Journals.
The final publication is available at
http://dx.doi.org/10.1017/S0004972700037862
http://journals.cambridge.org/abstract_S0004972700037862
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Thanks:
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Supported by Proyecto BFMS001-1667-C03-0S, MCyT (Spain) and FEDER (European Union).
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Type:
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Artículo
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URL:
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http://journals.cambridge.org/abstract_S0004972700037862
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