Arroyo Jordá, M.; Arroyo Jordá, P.; Martínez Pastor, A.; Perez-Ramos, M. (2010). On finite products of groups and supersolubility. Journal of Algebra. 323(10):2922-2934. doi:10.1016/j.jalgebra.2010.01.001
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/79336
Title:
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On finite products of groups and supersolubility
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Author:
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Arroyo Jordá, Milagros
Arroyo Jordá, Paz
Martínez Pastor, Ana
Perez-Ramos, M.D.
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UPV Unit:
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Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials
Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
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Issued date:
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Abstract:
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Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y(g) for some element g E G. i.e., XY(g) is a subgroup of G. Using this permutability property new criteria for the product ...[+]
Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y(g) for some element g E G. i.e., XY(g) is a subgroup of G. Using this permutability property new criteria for the product of finite supersoluble groups to be supersoluble are obtained and previous results are recovered. Also the behaviour of the supersoluble residual in products of finite groups is studied.
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Subjects:
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Finite groups
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Supersoluble groups
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Products of subgroups
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Conditional permutability
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Algebra. (issn:
0021-8693
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DOI:
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10.1016/j.jalgebra.2010.01.001
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.jalgebra.2010.01.001
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Project ID:
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Ministerio de Educacion y Ciencia and FEDER, Spain Proyecto MTM2007-68010-C03-03
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Thanks:
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Research supported by Proyecto MTM2007-68010-C03-03, Ministerio de Educacion y Ciencia and FEDER, Spain.
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Type:
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Artículo
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